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22713675920 = 24513193113161
BaseRepresentation
bin10101001001110101…
…110011000010010000
32011121221210021210022
4111021311303002100
5333004200112140
614233504523012
71432603026335
oct251165630220
964557707708
1022713675920
1196a63069a1
12449a920468
1321ac96c130
14115687898c
158ce1030b5
hex549d73090

22713675920 has 80 divisors (see below), whose sum is σ = 57166726512. Its totient is φ = 8343060480.

The previous prime is 22713675889. The next prime is 22713675949. The reversal of 22713675920 is 2957631722.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 795465616 + 21918210304 = 28204^2 + 148048^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×227136759202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144140 + ... + 257300.

Almost surely, 222713675920 is an apocalyptic number.

22713675920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22713675920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28583363256).

22713675920 is an abundant number, since it is smaller than the sum of its proper divisors (34453050592).

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

22713675920 is a wasteful number, since it uses less digits than its factorization.

22713675920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113380 (or 113374 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 22713675920 in words is "twenty-two billion, seven hundred thirteen million, six hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 193 208 260 386 520 772 965 1040 1544 1930 2509 3088 3860 5018 7720 10036 12545 15440 20072 25090 40144 50180 100360 113161 200720 226322 452644 565805 905288 1131610 1471093 1810576 2263220 2942186 4526440 5884372 7355465 9052880 11768744 14710930 21840073 23537488 29421860 43680146 58843720 87360292 109200365 117687440 174720584 218400730 283920949 349441168 436801460 567841898 873602920 1135683796 1419604745 1747205840 2271367592 2839209490 4542735184 5678418980 11356837960 22713675920