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22968300 = 2235276561
BaseRepresentation
bin101011110011…
…1011111101100
31121012220120210
41113213133230
521334441200
62140142420
7366140655
oct127473754
947186523
1022968300
1111a68473
127837a10
1349b2514
14309c52c
15203a650
hex15e77ec

22968300 has 36 divisors (see below), whose sum is σ = 66455816. Its totient is φ = 6124800.

The previous prime is 22968263. The next prime is 22968301. The reversal of 22968300 is 386922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22968301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37981 + ... + 38580.

Almost surely, 222968300 is an apocalyptic number.

22968300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22968300 is an abundant number, since it is smaller than the sum of its proper divisors (43487516).

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

22968300 is a wasteful number, since it uses less digits than its factorization.

22968300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76578 (or 76571 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 22968300 is about 4792.5254302925. The cubic root of 22968300 is about 284.2559848953.

The spelling of 22968300 in words is "twenty-two million, nine hundred sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 76561 153122 229683 306244 382805 459366 765610 918732 1148415 1531220 1914025 2296830 3828050 4593660 5742075 7656100 11484150 22968300