Search a number
-
+
232130578176 = 2832719773061
BaseRepresentation
bin1101100000110000001…
…1111000011100000000
3211012011120122011200100
43120030003320130000
512300400412000201
6254350031522400
722525261234020
oct3301403703400
9735146564610
10232130578176
118a49a729142
1238ba4089400
1318b74c1a303
14b341495a80
156089155886
hex360c0f8700

232130578176 has 216 divisors, whose sum is σ = 768795771744. Its totient is φ = 65985454080.

The previous prime is 232130578157. The next prime is 232130578187. The reversal of 232130578176 is 671875031232.

232130578176 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 3 + 0 + 578 + 1 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3140686 + ... + 3213746.

It is an arithmetic number, because the mean of its divisors is an integer number (3559239684).

Almost surely, 2232130578176 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 232130578176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384397885872).

232130578176 is an abundant number, since it is smaller than the sum of its proper divisors (536665193568).

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

232130578176 is a wasteful number, since it uses less digits than its factorization.

232130578176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73287 (or 73270 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 232130578176 in words is "two hundred thirty-two billion, one hundred thirty million, five hundred seventy-eight thousand, one hundred seventy-six".