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22632992 = 25294
BaseRepresentation
bin101011001010…
…1101000100000
31120120212121222
41112111220200
521243223432
62125034212
7363243254
oct126255040
946525558
1022632992
1111859558
1276b5968
1348c5a05
143012264
151ec1112
hex1595a20

22632992 has 30 divisors (see below), whose sum is σ = 46150083. Its totient is φ = 10926272.

The previous prime is 22632977. The next prime is 22632997. The reversal of 22632992 is 29923622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 12418576 + 10214416 = 3524^2 + 3196^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3364.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22632997) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 780434 + ... + 780462.

Almost surely, 222632992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22632992

22632992 is an abundant number, since it is smaller than the sum of its proper divisors (23517091).

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

22632992 is an frugal number, since it uses more digits than its factorization.

22632992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 31 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 22632992 is about 4757.4144238231. The cubic root of 22632992 is about 282.8659397423.

Multiplying 22632992 by its product of digits (23328), we get a square (527982437376 = 7266242).

The spelling of 22632992 in words is "twenty-two million, six hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 6728 13456 24389 26912 48778 97556 195112 390224 707281 780448 1414562 2829124 5658248 11316496 22632992