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22563531042 = 23132211310531
BaseRepresentation
bin10101000000111001…
…000010100100100010
32011020111021010201220
4111000321002210202
5332202230443132
614210542435510
71426100564223
oct250071024442
964214233656
1022563531042
119629585918
124458592b96
13218781c300
14114095324a
158c0d45a2c
hex540e42922

22563531042 has 48 divisors (see below), whose sum is σ = 48893167008. Its totient is φ = 6938680320.

The previous prime is 22563531017. The next prime is 22563531049. The reversal of 22563531042 is 24013536522.

It is a happy number.

It is a super-2 number, since 2×225635310422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22563530994 and 22563531012.

It is not an unprimeable number, because it can be changed into a prime (22563531049) 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, 2137317 + ... + 2147847.

It is an arithmetic number, because the mean of its divisors is an integer number (1018607646).

Almost surely, 222563531042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22563531042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24446583504).

22563531042 is an abundant number, since it is smaller than the sum of its proper divisors (26329635966).

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

22563531042 is a wasteful number, since it uses less digits than its factorization.

22563531042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12675 (or 12662 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 22563531042 in words is "twenty-two billion, five hundred sixty-three million, five hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2113 4226 6339 10531 12678 21062 27469 31593 54938 63186 82407 136903 164814 273806 357097 410709 714194 821418 1071291 1779739 2142582 3559478 5339217 10678434 22252003 44504006 66756009 133512018 289276039 578552078 867828117 1735656234 3760588507 7521177014 11281765521 22563531042