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22945120 = 2551113037
BaseRepresentation
bin101011110000…
…1110101100000
31121011201210021
41113201311200
521333220440
62135443224
7366013252
oct127416540
947151707
1022945120
1111a52010
127826514
1349a4ac3
143093cd2
15203384a
hex15e1d60

22945120 has 48 divisors (see below), whose sum is σ = 59140368. Its totient is φ = 8343040.

The previous prime is 22945093. The next prime is 22945127. The reversal of 22945120 is 2154922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22945127) 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, 4759 + ... + 8278.

It is an arithmetic number, because the mean of its divisors is an integer number (1232091).

Almost surely, 222945120 is an apocalyptic number.

22945120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22945120 is an abundant number, since it is smaller than the sum of its proper divisors (36195248).

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

22945120 is a wasteful number, since it uses less digits than its factorization.

22945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13063 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 22945120 is about 4790.1064706330. The cubic root of 22945120 is about 284.1603273794.

The spelling of 22945120 in words is "twenty-two million, nine hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 13037 26074 52148 65185 104296 130370 143407 208592 260740 286814 417184 521480 573628 717035 1042960 1147256 1434070 2085920 2294512 2868140 4589024 5736280 11472560 22945120