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22930400 = 255228663
BaseRepresentation
bin101011101111…
…0001111100000
31121010222121002
41113132033200
521332233100
62135251132
7365622323
oct127361740
947128532
1022930400
1111a41a49
127819aa8
13499b1ac
14308c7ba
15202e2d5
hex15de3e0

22930400 has 36 divisors (see below), whose sum is σ = 55980792. Its totient is φ = 9171840.

The previous prime is 22930393. The next prime is 22930403. The reversal of 22930400 is 403922.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22930403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13532 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (1555022).

Almost surely, 222930400 is an apocalyptic number.

22930400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22930400 is an abundant number, since it is smaller than the sum of its proper divisors (33050392).

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

22930400 is a wasteful number, since it uses less digits than its factorization.

22930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28683 (or 28670 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 22930400 is about 4788.5697238320. The cubic root of 22930400 is about 284.0995485179.

The spelling of 22930400 in words is "twenty-two million, nine hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 28663 57326 114652 143315 229304 286630 458608 573260 716575 917216 1146520 1433150 2293040 2866300 4586080 5732600 11465200 22930400