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230645556 = 2234799011
BaseRepresentation
bin11011011111101…
…01111100110100
3121002000000020000
431233311330310
5433021124211
634515311300
75500312011
oct1557657464
9532000200
10230645556
11109214469
12652ab530
1338a2707b
14228bc708
15153ae656
hexdbf5f34

230645556 has 60 divisors (see below), whose sum is σ = 610653120. Its totient is φ = 75900240.

The previous prime is 230645551. The next prime is 230645561. The reversal of 230645556 is 655546032.

It is a happy number.

230645556 is a `hidden beast` number, since 2 + 3 + 0 + 645 + 5 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (230645551) and next prime (230645561).

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

It is a self number, because there is not a number n which added to its sum of digits gives 230645556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230645551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21091 + ... + 30101.

It is an arithmetic number, because the mean of its divisors is an integer number (10177552).

Almost surely, 2230645556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230645556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305326560).

230645556 is an abundant number, since it is smaller than the sum of its proper divisors (380007564).

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

230645556 is a wasteful number, since it uses less digits than its factorization.

230645556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9106 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 230645556 is about 15187.0193257268. The cubic root of 230645556 is about 613.2652601145.

The spelling of 230645556 in words is "two hundred thirty million, six hundred forty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 948 1422 2133 2844 4266 6399 8532 9011 12798 18022 25596 27033 36044 54066 81099 108132 162198 243297 324396 486594 711869 729891 973188 1423738 1459782 2135607 2847476 2919564 4271214 6406821 8542428 12813642 19220463 25627284 38440926 57661389 76881852 115322778 230645556