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22505540 = 2251816217
BaseRepresentation
bin101010111011…
…0100001000100
31120100101210112
41111312201010
521230134130
62122212152
7362202551
oct125664104
946311715
1022505540
1111781822
127654058
13487c9b5
142dbba28
151e98495
hex1576844

22505540 has 24 divisors (see below), whose sum is σ = 47530392. Its totient is φ = 8951040.

The previous prime is 22505521. The next prime is 22505551. The reversal of 22505540 is 4550522.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 22259524 = 496^2 + 4718^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 512 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (1980433).

Almost surely, 222505540 is an apocalyptic number.

22505540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22505540 is an abundant number, since it is smaller than the sum of its proper divisors (25024852).

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

22505540 is a wasteful number, since it uses less digits than its factorization.

22505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 22505540 is about 4744.0004215851. Note that the first 3 decimals coincide. The cubic root of 22505540 is about 282.3339771611. Note that the first 3 decimals are identical.

The spelling of 22505540 in words is "twenty-two million, five hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 6217 12434 24868 31085 62170 124340 1125277 2250554 4501108 5626385 11252770 22505540