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22330960 = 245279137
BaseRepresentation
bin101010100101…
…1111001010000
31120000112022121
41111023321100
521204042320
62114344024
7360544561
oct125137120
946015277
1022330960
1111672643
12758b014
13481b3b2
142d74168
151e618aa
hex154be50

22330960 has 20 divisors (see below), whose sum is σ = 51919668. Its totient is φ = 8932352.

The previous prime is 22330951. The next prime is 22330961. The reversal of 22330960 is 6903322.

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 18974736 = 1832^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139489 + ... + 139648.

Almost surely, 222330960 is an apocalyptic number.

22330960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22330960 is an abundant number, since it is smaller than the sum of its proper divisors (29588708).

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

22330960 is a wasteful number, since it uses less digits than its factorization.

22330960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279150 (or 279144 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 22330960 is about 4725.5645165419. The cubic root of 22330960 is about 281.6020408125.

The spelling of 22330960 in words is "twenty-two million, three hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 279137 558274 1116548 1395685 2233096 2791370 4466192 5582740 11165480 22330960