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22714960 = 245283937
BaseRepresentation
bin101011010100…
…1101001010000
31120202001001211
41112221221100
521303334320
62130505504
7364034242
oct126515120
946661054
1022714960
11119050a4
127735294
134924108
143034092
151eda55a
hex15a9a50

22714960 has 20 divisors (see below), whose sum is σ = 52812468. Its totient is φ = 9085952.

The previous prime is 22714927. The next prime is 22714969. The reversal of 22714960 is 6941722.

It can be written as a sum of positive squares in 2 ways, for example, as 15808576 + 6906384 = 3976^2 + 2628^2 .

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 (22714969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141889 + ... + 142048.

Almost surely, 222714960 is an apocalyptic number.

22714960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22714960 is an abundant number, since it is smaller than the sum of its proper divisors (30097508).

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

22714960 is a wasteful number, since it uses less digits than its factorization.

22714960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283950 (or 283944 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 22714960 is about 4766.0214015466. The cubic root of 22714960 is about 283.2070055828.

The spelling of 22714960 in words is "twenty-two million, seven hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283937 567874 1135748 1419685 2271496 2839370 4542992 5678740 11357480 22714960