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22257438160 = 245278217977
BaseRepresentation
bin10100101110101001…
…011000110111010000
32010110011022000020111
4110232221120313100
5331040401010120
614120330051104
71415363050156
oct245651306720
963404260214
1022257438160
11949181a7a1
124391b79a94
13213929a169
1411120353d6
158a403175a
hex52ea58dd0

22257438160 has 20 divisors (see below), whose sum is σ = 51748543908. Its totient is φ = 8902975232.

The previous prime is 22257438121. The next prime is 22257438167. The reversal of 22257438160 is 6183475222.

It can be written as a sum of positive squares in 2 ways, for example, as 15458446224 + 6798991936 = 124332^2 + 82456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22257438167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139108909 + ... + 139109068.

Almost surely, 222257438160 is an apocalyptic number.

22257438160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22257438160 is an abundant number, since it is smaller than the sum of its proper divisors (29491105748).

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

22257438160 is a wasteful number, since it uses less digits than its factorization.

22257438160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278217990 (or 278217984 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 22257438160 in words is "twenty-two billion, two hundred fifty-seven million, four hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 278217977 556435954 1112871908 1391089885 2225743816 2782179770 4451487632 5564359540 11128719080 22257438160