Base | Representation |
---|---|
bin | 11011101100000… |
… | …00010100100100 |
3 | 121012001002001120 |
4 | 31312000110210 |
5 | 433424322100 |
6 | 35014053540 |
7 | 5520120324 |
oct | 1566002444 |
9 | 535032046 |
10 | 232260900 |
11 | 10a118063 |
12 | 6594a2b0 |
13 | 391713b1 |
14 | 22bbd284 |
15 | 155cd0a0 |
hex | dd80524 |
232260900 has 144 divisors (see below), whose sum is σ = 719203968. Its totient is φ = 57728000.
The previous prime is 232260871. The next prime is 232260901. The reversal of 232260900 is 9062232.
It is not an unprimeable number, because it can be changed into a prime (232260901) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282490 + ... + 283310.
It is an arithmetic number, because the mean of its divisors is an integer number (4994472).
Almost surely, 2232260900 is an apocalyptic number.
232260900 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 232260900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359601984).
232260900 is an abundant number, since it is smaller than the sum of its proper divisors (486943068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232260900 is a wasteful number, since it uses less digits than its factorization.
232260900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 902 (or 895 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
The square root of 232260900 is about 15240.1082673320. The cubic root of 232260900 is about 614.6936143253.
The spelling of 232260900 in words is "two hundred thirty-two million, two hundred sixty thousand, nine hundred".
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