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22361002272 = 25327109710111
BaseRepresentation
bin10100110100110100…
…011101000100100000
32010201101011121111100
4110310310131010200
5331243404033042
614134505514400
71421061245310
oct246464350440
963641147440
1022361002272
119535225a74
1244007a2a00
13215488acbb
141121ab3440
158ad18c24c
hex534d1d120

22361002272 has 144 divisors (see below), whose sum is σ = 72746698752. Its totient is φ = 6382402560.

The previous prime is 22361002271. The next prime is 22361002297. The reversal of 22361002272 is 27220016322.

22361002272 is a `hidden beast` number, since 2 + 23 + 610 + 0 + 2 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (22361002271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2206497 + ... + 2216607.

It is an arithmetic number, because the mean of its divisors is an integer number (505185408).

Almost surely, 222361002272 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 22361002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36373349376).

22361002272 is an abundant number, since it is smaller than the sum of its proper divisors (50385696480).

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

22361002272 is a wasteful number, since it uses less digits than its factorization.

22361002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11231 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 22361002272 its reverse (27220016322), we get a palindrome (49581018594).

The spelling of 22361002272 in words is "twenty-two billion, three hundred sixty-one million, two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1097 2016 2194 3291 4388 6582 7679 8776 9873 10111 13164 15358 17552 19746 20222 23037 26328 30333 30716 35104 39492 40444 46074 52656 60666 61432 69111 70777 78984 80888 90999 92148 105312 121332 122864 138222 141554 157968 161776 181998 184296 212331 242664 245728 276444 283108 315936 323552 363996 368592 424662 485328 552888 566216 636993 727992 737184 849324 970656 1105776 1132432 1273986 1455984 1698648 2211552 2264864 2547972 2911968 3397296 5095944 6794592 10191888 11091767 20383776 22183534 33275301 44367068 66550602 77642369 88734136 99825903 133101204 155284738 177468272 199651806 232927107 266202408 310569476 354936544 399303612 465854214 532404816 621138952 698781321 798607224 931708428 1064809632 1242277904 1397562642 1597214448 1863416856 2484555808 2795125284 3194428896 3726833712 5590250568 7453667424 11180501136 22361002272