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22640868 = 2232628913
BaseRepresentation
bin101011001011…
…1100011100100
31120121021102200
41112113203210
521244001433
62125134500
7363305235
oct126274344
946537380
1022640868
1111864468
1276ba430
1348c9483
14301508c
151ec3613
hex15978e4

22640868 has 18 divisors (see below), whose sum is σ = 57231174. Its totient is φ = 7546944.

The previous prime is 22640857. The next prime is 22640869. The reversal of 22640868 is 86804622.

22640868 is a `hidden beast` number, since 2 + 2 + 640 + 8 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22638564 + 2304 = 4758^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 628913 = 22640868 / (2 + 2 + 6 + 4 + 0 + 8 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (22640869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 314421 + ... + 314492.

Almost surely, 222640868 is an apocalyptic number.

It is an amenable number.

22640868 is an abundant number, since it is smaller than the sum of its proper divisors (34590306).

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

22640868 is a wasteful number, since it uses less digits than its factorization.

22640868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628923 (or 628918 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 22640868 is about 4758.2421123772. The cubic root of 22640868 is about 282.8987472145.

The spelling of 22640868 in words is "twenty-two million, six hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 628913 1257826 1886739 2515652 3773478 5660217 7546956 11320434 22640868