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22205651013 = 3371331291539
BaseRepresentation
bin10100101011100011…
…110101100001000101
32010022112211221122000
4110223203311201011
5330434121313023
614111240055513
71414163630220
oct245343654105
963275757560
1022205651013
1194655692a7
124378764599
13212b637490
1411091d45b7
1589e702243
hex52b8f5845

22205651013 has 64 divisors (see below), whose sum is σ = 41795174400. Its totient is φ = 11334997440.

The previous prime is 22205651011. The next prime is 22205651051. The reversal of 22205651013 is 31015650222.

It is a happy number.

22205651013 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 5 + 651 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 22205651013 - 21 = 22205651011 is a prime.

It is a super-2 number, since 2×222056510132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205651011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 69603 + ... + 221936.

It is an arithmetic number, because the mean of its divisors is an integer number (653049600).

Almost surely, 222205651013 is an apocalyptic number.

It is an amenable number.

22205651013 is a deficient number, since it is larger than the sum of its proper divisors (19589523387).

22205651013 is a wasteful number, since it uses less digits than its factorization.

22205651013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291599 (or 291593 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 22205651013 in words is "twenty-two billion, two hundred five million, six hundred fifty-one thousand, thirteen".

Divisors: 1 3 7 9 13 21 27 31 39 63 91 93 117 189 217 273 279 351 403 651 819 837 1209 1953 2457 2821 3627 5859 8463 10881 25389 76167 291539 874617 2040773 2623851 3790007 6122319 7871553 9037709 11370021 18366957 26530049 27113127 34110063 55100871 63263963 79590147 81339381 102330189 117490217 189791889 238770441 244018143 352470651 569375667 716311323 822431519 1057411953 1708127001 2467294557 3172235859 7401883671 22205651013