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22668372 = 22322921713
BaseRepresentation
bin101011001111…
…0010001010100
31120122200011100
41112132101110
521300341442
62125510100
7363451356
oct126362124
946580140
1022668372
11118830a1
127712330
134908b4c
1430210d6
151ecb84c
hex159e454

22668372 has 36 divisors (see below), whose sum is σ = 59279220. Its totient is φ = 7295232.

The previous prime is 22668341. The next prime is 22668377. The reversal of 22668372 is 27386622.

22668372 is a `hidden beast` number, since 226 + 68 + 372 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 13883076 = 2964^2 + 3726^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22668377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9813 + ... + 11900.

It is an arithmetic number, because the mean of its divisors is an integer number (1646645).

Almost surely, 222668372 is an apocalyptic number.

It is an amenable number.

22668372 is an abundant number, since it is smaller than the sum of its proper divisors (36610848).

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

22668372 is a wasteful number, since it uses less digits than its factorization.

22668372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21752 (or 21747 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22668372 is about 4761.1313781495. The cubic root of 22668372 is about 283.0132554651.

The spelling of 22668372 in words is "twenty-two million, six hundred sixty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 21713 43426 65139 86852 130278 195417 260556 390834 629677 781668 1259354 1889031 2518708 3778062 5667093 7556124 11334186 22668372