Base | Representation |
---|---|
bin | 11011110001100… |
… | …00101011100000 |
3 | 121020101202221210 |
4 | 31320300223200 |
5 | 434120431024 |
6 | 35041350120 |
7 | 5526216333 |
oct | 1570605340 |
9 | 536352853 |
10 | 232983264 |
11 | 10a570858 |
12 | 66038340 |
13 | 39365127 |
14 | 22d2a61a |
15 | 156c2129 |
hex | de30ae0 |
232983264 has 48 divisors (see below), whose sum is σ = 614380032. Its totient is φ = 77305728.
The previous prime is 232983239. The next prime is 232983281. The reversal of 232983264 is 462389232.
It is a tau number, because it is divible by the number of its divisors (48).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15967 + ... + 26849.
It is an arithmetic number, because the mean of its divisors is an integer number (12799584).
Almost surely, 2232983264 is an apocalyptic number.
232983264 is a gapful number since it is divisible by the number (24) 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 232983264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307190016).
232983264 is an abundant number, since it is smaller than the sum of its proper divisors (381396768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232983264 is a wasteful number, since it uses less digits than its factorization.
232983264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11119 (or 11111 counting only the distinct ones).
The product of its digits is 124416, while the sum is 39.
The square root of 232983264 is about 15263.7893067220. The cubic root of 232983264 is about 615.3302159477.
It can be divided in two parts, 23298 and 3264, that added together give a palindrome (26562).
The spelling of 232983264 in words is "two hundred thirty-two million, nine hundred eighty-three thousand, two hundred sixty-four".
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