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22137680 = 245276721
BaseRepresentation
bin101010001110…
…0101101010000
31112122201012002
41110130231100
521131401210
62110253132
7356111225
oct124345520
945581162
1022137680
1111550404
1274b71a8
134781426
142d2394c
151e244a5
hex151cb50

22137680 has 20 divisors (see below), whose sum is σ = 51470292. Its totient is φ = 8855040.

The previous prime is 22137673. The next prime is 22137683. The reversal of 22137680 is 8673122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6677056 + 15460624 = 2584^2 + 3932^2 .

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 (22137683) 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, 138281 + ... + 138440.

Almost surely, 222137680 is an apocalyptic number.

22137680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22137680 is an abundant number, since it is smaller than the sum of its proper divisors (29332612).

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

22137680 is a wasteful number, since it uses less digits than its factorization.

22137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276734 (or 276728 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 22137680 is about 4705.0696062864. The cubic root of 22137680 is about 280.7872403246.

The spelling of 22137680 in words is "twenty-two million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 276721 553442 1106884 1383605 2213768 2767210 4427536 5534420 11068840 22137680