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232771968 = 27341113157
BaseRepresentation
bin11011101111111…
…01000110000000
3121020000001010000
431313331012000
5434042200333
635033040000
75524346322
oct1567750600
9536001100
10232771968
1110a437030
1265b56000
13392bcbc0
1422cb3612
151567e713
hexddfd180

232771968 has 320 divisors, whose sum is σ = 819015120. Its totient is φ = 64696320.

The previous prime is 232771949. The next prime is 232771969. The reversal of 232771968 is 869177232.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232771969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1482546 + ... + 1482702.

Almost surely, 2232771968 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 232771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409507560).

232771968 is an abundant number, since it is smaller than the sum of its proper divisors (586243152).

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

232771968 is a wasteful number, since it uses less digits than its factorization.

232771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 232771968 is about 15256.8662575248. The cubic root of 232771968 is about 615.1441422993.

The spelling of 232771968 in words is "two hundred thirty-two million, seven hundred seventy-one thousand, nine hundred sixty-eight".