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230695920 = 243257213503
BaseRepresentation
bin11011100000000…
…10001111110000
3121002002120022100
431300002033300
5433024232140
634520340400
75500611600
oct1560021760
9532076270
10230695920
11109249294
1265314700
1338a43c80
14228d2c00
15153be530
hexdc023f0

230695920 has 360 divisors, whose sum is σ = 972500256. Its totient is φ = 48577536.

The previous prime is 230695919. The next prime is 230695931. The reversal of 230695920 is 29596032.

230695920 = T341 + T342 + ... + T1124.

230695920 is a `hidden beast` number, since 2 + 3 + 0 + 69 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×2306959203 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458389 + ... + 458891.

Almost surely, 2230695920 is an apocalyptic number.

230695920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230695920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486250128).

230695920 is an abundant number, since it is smaller than the sum of its proper divisors (741804336).

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

230695920 is a wasteful number, since it uses less digits than its factorization.

230695920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 230695920 is about 15188.6773617718. The cubic root of 230695920 is about 613.3098946094.

The spelling of 230695920 in words is "two hundred thirty million, six hundred ninety-five thousand, nine hundred twenty".