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22542031072 = 2511198937871
BaseRepresentation
bin10100111111100111…
…000001100011100000
32011011222210211022201
4110333213001203200
5332131224443242
614204453542544
71425420050131
oct247747014340
964158724281
1022542031072
119618430650
124451344a54
132183232232
14113bb57c88
158bdeea4b7
hex53f9c18e0

22542031072 has 96 divisors (see below), whose sum is σ = 51536217600. Its totient is φ = 9597772800.

The previous prime is 22542031069. The next prime is 22542031087. The reversal of 22542031072 is 27013024522.

It is a self number, because there is not a number n which added to its sum of digits gives 22542031072.

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 15 ways as a sum of consecutive naturals, for example, 576297 + ... + 614167.

It is an arithmetic number, because the mean of its divisors is an integer number (536835600).

Almost surely, 222542031072 is an apocalyptic number.

22542031072 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 22542031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25768108800).

22542031072 is an abundant number, since it is smaller than the sum of its proper divisors (28994186528).

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

22542031072 is a wasteful number, since it uses less digits than its factorization.

22542031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38000 (or 37992 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 22542031072 its reverse (27013024522), we get a palindrome (49555055594).

The spelling of 22542031072 in words is "twenty-two billion, five hundred forty-two million, thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 89 152 176 178 209 304 352 356 418 608 712 836 979 1424 1672 1691 1958 2848 3344 3382 3916 6688 6764 7832 13528 15664 18601 27056 31328 37202 37871 54112 74404 75742 148808 151484 297616 302968 416581 595232 605936 719549 833162 1211872 1439098 1666324 2878196 3332648 3370519 5756392 6665296 6741038 7915039 11512784 13330592 13482076 15830078 23025568 26964152 31660156 37075709 53928304 63320312 64039861 74151418 107856608 126640624 128079722 148302836 253281248 256159444 296605672 512318888 593211344 704438471 1024637776 1186422688 1408876942 2049275552 2817753884 5635507768 11271015536 22542031072