Base | Representation |
---|---|
bin | 11011101111111… |
… | …01000110000000 |
3 | 121020000001010000 |
4 | 31313331012000 |
5 | 434042200333 |
6 | 35033040000 |
7 | 5524346322 |
oct | 1567750600 |
9 | 536001100 |
10 | 232771968 |
11 | 10a437030 |
12 | 65b56000 |
13 | 392bcbc0 |
14 | 22cb3612 |
15 | 1567e713 |
hex | ddfd180 |
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".
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