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22106147765 = 5136128119841
BaseRepresentation
bin10100100101101000…
…010000101110110101
32010001121121122211112
4110211220100232311
5330233133212030
614053323244405
71411545104252
oct244550205665
963047548745
1022106147765
119414387009
12434b379705
132113b38b10
1410d9cd2429
15895ae9a95
hex525a10bb5

22106147765 has 32 divisors (see below), whose sum is σ = 29141072352. Its totient is φ = 15998976000.

The previous prime is 22106147729. The next prime is 22106147779. The reversal of 22106147765 is 56774160122.

It can be written as a sum of positive squares in 16 ways, for example, as 19476714481 + 2629433284 = 139559^2 + 51278^2 .

It is not a de Polignac number, because 22106147765 - 230 = 21032405941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104245 + ... + 1124085.

It is an arithmetic number, because the mean of its divisors is an integer number (910658511).

Almost surely, 222106147765 is an apocalyptic number.

It is an amenable number.

22106147765 is a deficient number, since it is larger than the sum of its proper divisors (7034924587).

22106147765 is a wasteful number, since it uses less digits than its factorization.

22106147765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201.

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 22106147765 in words is "twenty-two billion, one hundred six million, one hundred forty-seven thousand, seven hundred sixty-five".

Divisors: 1 5 13 61 65 281 305 793 1405 3653 3965 17141 18265 19841 85705 99205 222833 257933 1114165 1210301 1289665 5575321 6051505 15733913 27876605 72479173 78669565 340094581 362395865 1700472905 4421229553 22106147765