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22630534272 = 273410332113
BaseRepresentation
bin10101000100111000…
…101000110010000000
32011102011100020220000
4111010320220302000
5332321404044042
614221334520000
71430543240013
oct250470506200
964364306800
1022630534272
11966338a395
124476b06000
13219867baa8
1411497d537a
158c6b7d74c
hex544e28c80

22630534272 has 160 divisors (see below), whose sum is σ = 67445203980. Its totient is φ = 7532642304.

The previous prime is 22630534271. The next prime is 22630534273. The reversal of 22630534272 is 27243503622.

22630534272 is a `hidden beast` number, since 2 + 2 + 6 + 305 + 342 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22630534271) and next prime (22630534273).

It can be written as a sum of positive squares in 2 ways, for example, as 22492800576 + 137733696 = 149976^2 + 11736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22630534271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10709088 + ... + 10711200.

Almost surely, 222630534272 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 22630534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33722601990).

22630534272 is an abundant number, since it is smaller than the sum of its proper divisors (44814669708).

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

22630534272 is a wasteful number, since it uses less digits than its factorization.

22630534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 22630534272 in words is "twenty-two billion, six hundred thirty million, five hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1033 1152 1296 1728 2066 2113 2592 3099 3456 4132 4226 5184 6198 6339 8264 8452 9297 10368 12396 12678 16528 16904 18594 19017 24792 25356 27891 33056 33808 37188 38034 49584 50712 55782 57051 66112 67616 74376 76068 83673 99168 101424 111564 114102 132224 135232 148752 152136 167346 171153 198336 202848 223128 228204 270464 297504 304272 334692 342306 396672 405696 446256 456408 595008 608544 669384 684612 811392 892512 912816 1190016 1217088 1338768 1369224 1785024 1825632 2182729 2434176 2677536 2738448 3570048 3651264 4365458 5355072 5476896 6548187 7302528 8730916 10710144 10953792 13096374 17461832 19644561 21907584 26192748 34923664 39289122 52385496 58933683 69847328 78578244 104770992 117867366 139694656 157156488 176801049 209541984 235734732 279389312 314312976 353602098 419083968 471469464 628625952 707204196 838167936 942938928 1257251904 1414408392 1885877856 2514503808 2828816784 3771755712 5657633568 7543511424 11315267136 22630534272