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10226465604 = 22321217233417
BaseRepresentation
bin10011000011000101…
…10111101101000100
3222101200220021112100
421201202313231010
5131420433344404
64410432352100
7511264344345
oct114142675504
928350807470
1010226465604
114378633a73
121b949a5630
13c6c8acaa4
146d02740cc
153ecbe3d39
hex2618b7b44

10226465604 has 36 divisors (see below), whose sum is σ = 25871584284. Its totient is φ = 3406006272.

The previous prime is 10226465573. The next prime is 10226465611. The reversal of 10226465604 is 40656462201.

10226465604 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 6 + 46 + 5 + 604 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5790905604 + 4435560000 = 76098^2 + 66600^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72897 + ... + 160520.

It is an arithmetic number, because the mean of its divisors is an integer number (718655119).

Almost surely, 210226465604 is an apocalyptic number.

It is an amenable number.

10226465604 is an abundant number, since it is smaller than the sum of its proper divisors (15645118680).

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

10226465604 is a wasteful number, since it uses less digits than its factorization.

10226465604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234644 (or 234639 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10226465604 in words is "ten billion, two hundred twenty-six million, four hundred sixty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1217 2434 3651 4868 7302 10953 14604 21906 43812 233417 466834 700251 933668 1400502 2100753 2801004 4201506 8403012 284068489 568136978 852205467 1136273956 1704410934 2556616401 3408821868 5113232802 10226465604