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22913540 = 2251388129
BaseRepresentation
bin101011101101…
…0001000000100
31121010010110122
41113122020010
521331213130
62135041112
7365522216
oct127321004
947103418
1022913540
1111a30311
127810198
134993610
1430865b6
1520292e5
hex15da204

22913540 has 24 divisors (see below), whose sum is σ = 51820440. Its totient is φ = 8460288.

The previous prime is 22913519. The next prime is 22913549. The reversal of 22913540 is 4531922.

22913540 = T384 + T385 + ... + T578.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 22905796 = 88^2 + 4786^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (22913549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43805 + ... + 44324.

It is an arithmetic number, because the mean of its divisors is an integer number (2159185).

Almost surely, 222913540 is an apocalyptic number.

22913540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22913540 is an abundant number, since it is smaller than the sum of its proper divisors (28906900).

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

22913540 is a wasteful number, since it uses less digits than its factorization.

22913540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88151 (or 88149 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 22913540 is about 4786.8089579594. The cubic root of 22913540 is about 284.0299016324.

The spelling of 22913540 in words is "twenty-two million, nine hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 88129 176258 352516 440645 881290 1145677 1762580 2291354 4582708 5728385 11456770 22913540