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22405737140 = 2252020155457
BaseRepresentation
bin10100110111011111…
…000110101010110100
32010211111100101012022
4110313133012222310
5331341332042030
614143144412312
71422143423543
oct246737065264
963744311168
1022405737140
1195584aaa36
124413777098
132160c21a37
1411279da15a
158b2076de5
hex5377c6ab4

22405737140 has 24 divisors (see below), whose sum is σ = 47055225672. Its totient is φ = 8961689600.

The previous prime is 22405737097. The next prime is 22405737149. The reversal of 22405737140 is 4173750422.

It can be written as a sum of positive squares in 4 ways, for example, as 4128319504 + 18277417636 = 64252^2 + 135194^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22405737140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22405737149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376292 + ... + 431748.

It is an arithmetic number, because the mean of its divisors is an integer number (1960634403).

Almost surely, 222405737140 is an apocalyptic number.

22405737140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22405737140 is an abundant number, since it is smaller than the sum of its proper divisors (24649488532).

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

22405737140 is a wasteful number, since it uses less digits than its factorization.

22405737140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75667 (or 75665 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 22405737140 in words is "twenty-two billion, four hundred five million, seven hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 20201 40402 55457 80804 101005 110914 202010 221828 277285 404020 554570 1109140 1120286857 2240573714 4481147428 5601434285 11202868570 22405737140