Base | Representation |
---|---|
bin | 11011110000011… |
… | …01001100100000 |
3 | 121020010101120200 |
4 | 31320031030200 |
5 | 434101303140 |
6 | 35034305200 |
7 | 5525042520 |
oct | 1570151440 |
9 | 536111520 |
10 | 232837920 |
11 | 10a481637 |
12 | 65b88200 |
13 | 39313c23 |
14 | 22ccd680 |
15 | 15694030 |
hex | de0d320 |
232837920 has 144 divisors (see below), whose sum is σ = 908107200. Its totient is φ = 53217792.
The previous prime is 232837909. The next prime is 232837921. The reversal of 232837920 is 29738232.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232837921) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1470 + ... + 21629.
It is an arithmetic number, because the mean of its divisors is an integer number (6306300).
Almost surely, 2232837920 is an apocalyptic number.
232837920 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 232837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454053600).
232837920 is an abundant number, since it is smaller than the sum of its proper divisors (675269280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232837920 is a wasteful number, since it uses less digits than its factorization.
232837920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23127 (or 23116 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 232837920 is about 15259.0274919472. The cubic root of 232837920 is about 615.2022337093.
The spelling of 232837920 in words is "two hundred thirty-two million, eight hundred thirty-seven thousand, nine hundred twenty".
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