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230076252 = 223274192179
BaseRepresentation
bin11011011011010…
…10111101011100
3121000221002021200
431231222331130
5432344420002
634455155500
75462421150
oct1555527534
9530832250
10230076252
1110896576a
1265075b90
1338887bc3
14227b1060
15152eab1c
hexdb6af5c

230076252 has 72 divisors (see below), whose sum is σ = 666556800. Its totient is φ = 65549088.

The previous prime is 230076251. The next prime is 230076257. The reversal of 230076252 is 252670032.

230076252 is a `hidden beast` number, since 2 + 30 + 0 + 7 + 625 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230076251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104499 + ... + 106677.

Almost surely, 2230076252 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 230076252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333278400).

230076252 is an abundant number, since it is smaller than the sum of its proper divisors (436480548).

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

230076252 is a wasteful number, since it uses less digits than its factorization.

230076252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230076252 is about 15168.2646337674. The cubic root of 230076252 is about 612.7602687861.

The spelling of 230076252 in words is "two hundred thirty million, seventy-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 838 1257 1676 2179 2514 2933 3771 4358 5028 5866 6537 7542 8716 8799 11732 13074 15084 15253 17598 19611 26148 26397 30506 35196 39222 45759 52794 61012 78444 91518 105588 137277 183036 274554 549108 913001 1826002 2739003 3652004 5478006 6391007 8217009 10956012 12782014 16434018 19173021 25564028 32868036 38346042 57519063 76692084 115038126 230076252