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22741800012 = 223231149313649
BaseRepresentation
bin10101001011100001…
…000101010001001100
32011200220201010210100
4111023201011101030
5333033400100022
614240351411100
71433364052641
oct251341052114
964626633710
1022741800012
119710175a48
1244a8223a90
1321b57382c9
14115a4b9dc8
158d180b1ac
hex54b84544c

22741800012 has 72 divisors (see below), whose sum is σ = 59384707200. Its totient is φ = 7330613760.

The previous prime is 22741799959. The next prime is 22741800013. The reversal of 22741800012 is 21000814722.

It is not an unprimeable number, because it can be changed into a prime (22741800013) 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, 1659364 + ... + 1673012.

It is an arithmetic number, because the mean of its divisors is an integer number (824787600).

Almost surely, 222741800012 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 22741800012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29692353600).

22741800012 is an abundant number, since it is smaller than the sum of its proper divisors (36642907188).

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

22741800012 is a wasteful number, since it uses less digits than its factorization.

22741800012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15183 (or 15178 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 22741800012 in words is "twenty-two billion, seven hundred forty-one million, eight hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1493 2986 4479 5972 8958 13437 13649 17916 26874 27298 40947 46283 53748 54596 81894 92566 122841 138849 163788 185132 245682 277698 416547 423119 491364 555396 833094 846238 1269357 1666188 1692476 2538714 3808071 5077428 7616142 15232284 20377957 40755914 61133871 81511828 122267742 183401613 244535484 366803226 631716667 733606452 1263433334 1895150001 2526866668 3790300002 5685450003 7580600004 11370900006 22741800012