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230173928960 = 2951753731367
BaseRepresentation
bin1101011001011101101…
…1110110111000000000
3211000010012212002112212
43112113123312320000
512232344011211320
6253423534041252
722425632054243
oct3262733667000
9730105762485
10230173928960
1189686200678
1238738949228
1318922740a01
14b1d768325a
155ec24a79c5
hex35976f6e00

230173928960 has 320 divisors, whose sum is σ = 603963879552. Its totient is φ = 83792756736.

The previous prime is 230173928951. The next prime is 230173929019. The reversal of 230173928960 is 69829371032.

It is a happy number.

230173928960 is digitally balanced in base 3, 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 (320).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 230173928899 and 230173928908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168378197 + ... + 168379563.

Almost surely, 2230173928960 is an apocalyptic number.

230173928960 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 230173928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301981939776).

230173928960 is an abundant number, since it is smaller than the sum of its proper divisors (373789950592).

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

230173928960 is a wasteful number, since it uses less digits than its factorization.

230173928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 230173928960 in words is "two hundred thirty billion, one hundred seventy-three million, nine hundred twenty-eight thousand, nine hundred sixty".