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22821768 = 23325632
BaseRepresentation
bin101011100001…
…1101110001000
31120221110120200
41113003232020
521320244033
62133052200
7364660524
oct127035610
946843520
1022821768
1111978372
127787060
134960908
143060d84
15200c013
hex15c3b88

22821768 has 36 divisors (see below), whose sum is σ = 61918935. Its totient is φ = 7593744.

The previous prime is 22821761. The next prime is 22821787. The reversal of 22821768 is 86712822.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11410884 + 11410884 = 3378^2 + 3378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22821761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40255 + ... + 40817.

Almost surely, 222821768 is an apocalyptic number.

It is an amenable number.

22821768 is an abundant number, since it is smaller than the sum of its proper divisors (39097167).

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

22821768 is an equidigital number, since it uses as much as digits as its factorization.

22821768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 568 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 22821768 is about 4777.2134136963. The cubic root of 22821768 is about 283.6502008222.

The spelling of 22821768 in words is "twenty-two million, eight hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 563 1126 1689 2252 3378 4504 5067 6756 10134 13512 20268 40536 316969 633938 950907 1267876 1901814 2535752 2852721 3803628 5705442 7607256 11410884 22821768