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22224101031 = 33111793791103
BaseRepresentation
bin10100101100101010…
…001101111010100111
32010100211120022022000
4110230222031322213
5331003332213111
614113135340343
71414506512316
oct245452157247
963324508260
1022224101031
119474a20050
1243829816b3
1321323c7252
14110b83827d
158a1148c56
hex52ca8dea7

22224101031 has 64 divisors (see below), whose sum is σ = 36246528000. Its totient is φ = 13346454240.

The previous prime is 22224101021. The next prime is 22224101047. The reversal of 22224101031 is 13010142222.

It is a happy number.

22224101031 is a `hidden beast` number, since 2 + 222 + 410 + 1 + 0 + 31 = 666.

It is not a de Polignac number, because 22224101031 - 223 = 22215712423 is a prime.

It is a super-2 number, since 2×222241010312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22224100995 and 22224101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20148226 + ... + 20149328.

It is an arithmetic number, because the mean of its divisors is an integer number (566352000).

Almost surely, 222224101031 is an apocalyptic number.

22224101031 is a deficient number, since it is larger than the sum of its proper divisors (14022426969).

22224101031 is a wasteful number, since it uses less digits than its factorization.

22224101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22224101031 its reverse (13010142222), we get a palindrome (35234243253).

The spelling of 22224101031 in words is "twenty-two billion, two hundred twenty-four million, one hundred one thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 179 297 379 537 1103 1137 1611 1969 3309 3411 4169 4833 5907 9927 10233 12133 12507 17721 29781 36399 37521 53163 67841 109197 112563 197437 203523 327591 418037 592311 610569 746251 1254111 1776933 1831707 2171807 2238753 3762333 4598407 5330799 6515421 6716259 11286999 13795221 19546263 20148777 41385663 58638789 74828623 124156989 224485869 673457607 823114853 2020372821 2469344559 7408033677 22224101031