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20221550356 = 22719312371069
BaseRepresentation
bin10010110101010011…
…000101111100010100
31221012021102012012111
4102311103011330110
5312403204102411
613142322000404
71314052225210
oct226523057424
957167365174
1020221550356
1186375a1097
123b041a6104
131ba3568c17
14d9b8b7940
157d5430721
hex4b54c5f14

20221550356 has 144 divisors (see below), whose sum is σ = 45220425600. Its totient is φ = 7723434240.

The previous prime is 20221550341. The next prime is 20221550417. The reversal of 20221550356 is 65305512202.

It is a happy number.

It is a super-2 number, since 2×202215503562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 18915790 + ... + 18916858.

Almost surely, 220221550356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221550356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22610212800).

20221550356 is an abundant number, since it is smaller than the sum of its proper divisors (24998875244).

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

20221550356 is a wasteful number, since it uses less digits than its factorization.

20221550356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 20221550356 in words is "twenty billion, two hundred twenty-one million, five hundred fifty thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 31 37 38 62 74 76 124 133 148 217 259 266 434 518 532 589 703 868 961 1036 1069 1147 1178 1406 1922 2138 2294 2356 2812 3844 4123 4276 4588 4921 6727 7483 8029 8246 9842 13454 14966 16058 16492 18259 19684 20311 21793 26908 29932 32116 33139 35557 36518 39553 40622 43586 66278 71114 73036 79106 81244 87172 127813 132556 142177 142228 152551 158212 231973 248899 255626 276871 284354 305102 463946 497798 511252 553742 568708 610204 629641 675583 751507 927892 995596 1027309 1107484 1226143 1259282 1351166 1503014 2054618 2452286 2518564 2702332 3006028 4109236 4407487 4729081 4904572 5260549 7191163 8583001 8814974 9458162 10521098 14382326 17166002 17629948 18916324 19518871 21042196 23296717 28764652 34332004 38010433 39037742 46593434 76020866 78075484 93186868 136632097 152041732 163077019 266073031 273264194 326154038 532146062 546528388 652308076 722198227 1064292124 1444396454 2888792908 5055387589 10110775178 20221550356