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22330131104 = 254138943753
BaseRepresentation
bin10100110010111110…
…101100001010100000
32010122020002012012202
4110302332230022200
5331213003143404
614131444112332
71420234661021
oct246276541240
963566065182
1022330131104
119519860006
1243b23956a8
13214b36c638
14111b958c48
158aa5e021e
hex532fac2a0

22330131104 has 48 divisors (see below), whose sum is σ = 45151502760. Its totient is φ = 10864496640.

The previous prime is 22330131059. The next prime is 22330131139. The reversal of 22330131104 is 40113103322.

It can be written as a sum of positive squares in 4 ways, for example, as 10190498704 + 12139632400 = 100948^2 + 110180^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488492 + ... + 532244.

Almost surely, 222330131104 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 22330131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22575751380).

22330131104 is an abundant number, since it is smaller than the sum of its proper divisors (22821371656).

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

22330131104 is a wasteful number, since it uses less digits than its factorization.

22330131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44193 (or 44185 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22330131104 its reverse (40113103322), we get a palindrome (62443234426).

The spelling of 22330131104 in words is "twenty-two billion, three hundred thirty million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 389 656 778 1312 1556 3112 6224 12448 15949 31898 43753 63796 87506 127592 175012 255184 350024 510368 700048 1400096 1793873 3587746 7175492 14350984 17019917 28701968 34039834 57403936 68079668 136159336 272318672 544637344 697816597 1395633194 2791266388 5582532776 11165065552 22330131104