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22311222130032 = 24311593322122123
BaseRepresentation
bin1010001001010101111000…
…11110000011010101110000
32220222221011102122122201120
411010222330132003111300
510411021340331130112
6115241344533302240
74461634612002513
oct504527436032560
986887142578646
1022311222130032
117122155270550
122604093194980
13c5ac29606424
14571c24422d7a
1528a57583ce8c
hex144abc783570

22311222130032 has 160 divisors (see below), whose sum is σ = 63005514460416. Its totient is φ = 6747174604800.

The previous prime is 22311222130003. The next prime is 22311222130037. The reversal of 22311222130032 is 23003122211322.

It is a super-3 number, since 3×223112221300323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22311222129984 and 22311222130011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22311222130037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008496923 + ... + 1008519045.

Almost surely, 222311222130032 is an apocalyptic number.

22311222130032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22311222130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31502757230208).

22311222130032 is an abundant number, since it is smaller than the sum of its proper divisors (40694292330384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22311222130032 is a wasteful number, since it uses less digits than its factorization.

22311222130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25959 (or 25953 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22311222130032 its reverse (23003122211322), we get a palindrome (45314344341354).

The spelling of 22311222130032 in words is "twenty-two trillion, three hundred eleven billion, two hundred twenty-two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 593 1186 1779 2372 3221 3558 4744 6442 6523 7116 9488 9663 12884 13046 14232 19326 19569 22123 25768 26092 28464 35431 38652 39138 44246 51536 52184 66369 70862 77304 78276 88492 104368 106293 132738 141724 154608 156552 176984 212586 243353 265476 283448 313104 353968 425172 486706 530952 566896 730059 850344 973412 1061904 1460118 1700688 1910053 1946824 2920236 3820106 3893648 5730159 5840472 7640212 11460318 11680944 13118939 15280424 21010583 22920636 26237878 30560848 39356817 42021166 45841272 52475756 63031749 71258183 78713634 84042332 91682544 104951512 126063498 142516366 144308329 157427268 168084664 209903024 213774549 252126996 285032732 288616658 314854536 336169328 427549098 432924987 504253992 570065464 577233316 629709072 783840013 855098196 865849974 1008507984 1140130928 1154466632 1567680026 1710196392 1731699948 2308933264 2351520039 3135360052 3420392784 3463399896 4703040078 6270720104 6926799792 9406080156 12541440208 18812160312 37624320624 42256102519 84512205038 126768307557 169024410076 253536615114 338048820152 464817127709 507073230228 676097640304 929634255418 1014146460456 1394451383127 1859268510836 2028292920912 2788902766254 3718537021672 5577805532508 7437074043344 11155611065016 22311222130032