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2220022121022 = 23223179174117207
BaseRepresentation
bin100000010011100011101…
…000010100001000111110
321212020021011021200001100
4200103203220110020332
5242333101130333042
64415510350353530
7316251134450526
oct40234350241076
97766234250040
102220022121022
1178656267a942
122ba308abb8a6
13131468a04b24
1479641b74686
153cb340dc24c
hex204e3a1423e

2220022121022 has 96 divisors (see below), whose sum is σ = 5050413089280. Its totient is φ = 703433586240.

The previous prime is 2220022120997. The next prime is 2220022121047. The reversal of 2220022121022 is 2201212200222.

It is an interprime number because it is at equal distance from previous prime (2220022120997) and next prime (2220022121047).

It is a super-2 number, since 2×22200221210222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2220022120986 and 2220022121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129009943 + ... + 129027149.

It is an arithmetic number, because the mean of its divisors is an integer number (52608469680).

Almost surely, 22220022121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220022121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525206544640).

2220022121022 is an abundant number, since it is smaller than the sum of its proper divisors (2830390968258).

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

2220022121022 is a wasteful number, since it uses less digits than its factorization.

2220022121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19158 (or 19155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2220022121022 its reverse (2201212200222), we get a palindrome (4421234321244).

The spelling of 2220022121022 in words is "two trillion, two hundred twenty billion, twenty-two million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 179 207 358 414 537 1074 1611 1741 3222 3482 4117 5223 8234 10446 12351 15669 17207 24702 31338 34414 37053 40043 51621 74106 80086 103242 120129 154863 240258 309726 311639 360387 395761 623278 720774 791522 934917 1187283 1869834 2374566 2804751 3080053 3561849 5609502 6160106 7123698 7167697 9240159 14335394 18480318 21503091 27720477 29957387 43006182 55440954 59914774 64509273 70841219 89872161 129018546 141682438 179744322 212523657 269616483 425047314 539232966 637570971 689019901 1275141942 1378039802 2067059703 4134119406 5362372273 6201179109 10724744546 12402358218 16087116819 32174233638 48261350457 96522700914 123334562279 246669124558 370003686837 740007373674 1110011060511 2220022121022