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230467163996160 = 21432571319180793
BaseRepresentation
bin110100011001101111010001…
…011100010100000000000000
31010020000110000220210201000200
4310121233101130110000000
5220201433222440334120
62134055053054245200
766354463112323650
oct6431572134240000
91106013026721020
10230467163996160
116748563689a143
1221a220b6ab6800
139b79c63a5bc10
1440ca955272360
151b99ea6dc4e90
hexd19bd1714000

230467163996160 has 1440 divisors, whose sum is σ = 1035054733090560. Its totient is φ = 46066518982656.

The previous prime is 230467163996123. The next prime is 230467163996177. The reversal of 230467163996160 is 61699361764032.

230467163996160 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 6 + 7 + 1 + 6 + 3 + 9 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2304671639961602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274666724 + ... + 1274847516.

Almost surely, 2230467163996160 is an apocalyptic number.

230467163996160 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 230467163996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517527366545280).

230467163996160 is an abundant number, since it is smaller than the sum of its proper divisors (804587569094400).

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

230467163996160 is a wasteful number, since it uses less digits than its factorization.

230467163996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180871 (or 180842 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 230467163996160 in words is "two hundred thirty trillion, four hundred sixty-seven billion, one hundred sixty-three million, nine hundred ninety-six thousand, one hundred sixty".