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230755644 = 22327915697
BaseRepresentation
bin11011100000100…
…00110100111100
3121002012121020100
431300100310330
5433033140034
634521521100
75501250660
oct1560206474
9532177210
10230755644
1110928a149
1265343190
1338a65202
142290a8a0
15153d2099
hexdc10d3c

230755644 has 36 divisors (see below), whose sum is σ = 666628144. Its totient is φ = 65930112.

The previous prime is 230755601. The next prime is 230755691. The reversal of 230755644 is 446557032.

230755644 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 5 + 5 + 644 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 230755599 and 230755608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457597 + ... + 458100.

Almost surely, 2230755644 is an apocalyptic number.

It is an amenable number.

230755644 is an abundant number, since it is smaller than the sum of its proper divisors (435872500).

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

230755644 is a wasteful number, since it uses less digits than its factorization.

230755644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915714 (or 915709 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 230755644 is about 15190.6433043502. The cubic root of 230755644 is about 613.3628158743.

The spelling of 230755644 in words is "two hundred thirty million, seven hundred fifty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 915697 1831394 2747091 3662788 5494182 6409879 8241273 10988364 12819758 16482546 19229637 25639516 32965092 38459274 57688911 76918548 115377822 230755644