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122568804 = 22323404689
BaseRepresentation
bin1110100111001…
…00000001100100
322112122010210100
413103210001210
5222334200204
620055024100
73015550311
oct723440144
9275563710
10122568804
1163206836
123506b030
131c516227
14123c7d08
15ab61a39
hex74e4064

122568804 has 18 divisors (see below), whose sum is σ = 309826790. Its totient is φ = 40856256.

The previous prime is 122568799. The next prime is 122568811. The reversal of 122568804 is 408865221.

122568804 is a `hidden beast` number, since 12 + 2 + 568 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93083904 + 29484900 = 9648^2 + 5430^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1225688042 = 30046223427980832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3404689 = 122568804 / (1 + 2 + 2 + 5 + 6 + 8 + 8 + 0 + 4).

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 5 ways as a sum of consecutive naturals, for example, 1702309 + ... + 1702380.

Almost surely, 2122568804 is an apocalyptic number.

It is an amenable number.

122568804 is an abundant number, since it is smaller than the sum of its proper divisors (187257986).

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

122568804 is a wasteful number, since it uses less digits than its factorization.

122568804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404699 (or 3404694 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 122568804 is about 11071.0796221507. The cubic root of 122568804 is about 496.7371593912.

The spelling of 122568804 in words is "one hundred twenty-two million, five hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 3404689 6809378 10214067 13618756 20428134 30642201 40856268 61284402 122568804