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230845644 = 22329766107
BaseRepresentation
bin11011100001001…
…10110011001100
3121002101011200200
431300212303030
5433044030034
634523453500
75502104241
oct1560466314
9532334620
10230845644
11109340827
1265387290
1338a97173
14229315c8
15153eda99
hexdc26ccc

230845644 has 36 divisors (see below), whose sum is σ = 589551144. Its totient is φ = 76154112.

The previous prime is 230845639. The next prime is 230845651. The reversal of 230845644 is 446548032.

230845644 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 4 + 5 + 644 = 666.

230845644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2308456442 = 106579422707549472, which contains 22 as substring.

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 = 230845599 and 230845608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29562 + ... + 36545.

Almost surely, 2230845644 is an apocalyptic number.

It is an amenable number.

230845644 is an abundant number, since it is smaller than the sum of its proper divisors (358705500).

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

230845644 is a wasteful number, since it uses less digits than its factorization.

230845644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66214 (or 66209 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 230845644 is about 15193.6053654161. The cubic root of 230845644 is about 613.4425473704.

The spelling of 230845644 in words is "two hundred thirty million, eight hundred forty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 66107 132214 198321 264428 396642 594963 793284 1189926 2379852 6412379 12824758 19237137 25649516 38474274 57711411 76948548 115422822 230845644