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22121223432 = 23371129412771
BaseRepresentation
bin10100100110100001…
…110001010100001000
32010002122222120202120
4110212201301110020
5330301013122212
614055022331240
71412120203530
oct244641612410
963078876676
1022121223432
119421943640
124354429b20
132116cb6a29
1410dbcd84c0
158970c688c
hex526871508

22121223432 has 128 divisors (see below), whose sum is σ = 71327001600. Its totient is φ = 5547628800.

The previous prime is 22121223419. The next prime is 22121223493. The reversal of 22121223432 is 23432212122.

It is a super-2 number, since 2×221212234322 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152794 + ... + 259977.

It is an arithmetic number, because the mean of its divisors is an integer number (557242200).

Almost surely, 222121223432 is an apocalyptic number.

22121223432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22121223432 is an abundant number, since it is smaller than the sum of its proper divisors (49205778168).

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

22121223432 is a wasteful number, since it uses less digits than its factorization.

22121223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412827 (or 412823 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 22121223432 its reverse (23432212122), we get a palindrome (45553435554).

The spelling of 22121223432 in words is "twenty-two billion, one hundred twenty-one million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 56 58 66 77 84 87 88 116 132 154 168 174 203 231 232 264 308 319 348 406 462 609 616 638 696 812 924 957 1218 1276 1624 1848 1914 2233 2436 2552 3828 4466 4872 6699 7656 8932 13398 17864 26796 53592 412771 825542 1238313 1651084 2476626 2889397 3302168 4540481 4953252 5778794 8668191 9080962 9906504 11557588 11970359 13621443 17336382 18161924 23115176 23940718 27242886 31783367 34672764 35911077 36323848 47881436 54485772 63566734 69345528 71822154 83792513 95350101 95762872 108971544 127133468 131673949 143644308 167585026 190700202 251377539 254266936 263347898 287288616 335170052 381400404 395021847 502755078 526695796 670340104 762800808 790043694 921717643 1005510156 1053391592 1580087388 1843435286 2011020312 2765152929 3160174776 3686870572 5530305858 7373741144 11060611716 22121223432