Base | Representation |
---|---|
bin | 11011101010001… |
… | …10010101101000 |
3 | 121011121000021021 |
4 | 31311012111220 |
5 | 433344222100 |
6 | 35005022224 |
7 | 5515111030 |
oct | 1565062550 |
9 | 534530237 |
10 | 232023400 |
11 | 109a75684 |
12 | 65854974 |
13 | 390ba26b |
14 | 22b5a8c0 |
15 | 15582a1a |
hex | dd46568 |
232023400 has 144 divisors (see below), whose sum is σ = 639021600. Its totient is φ = 76727040.
The previous prime is 232023397. The next prime is 232023413. The reversal of 232023400 is 4320232.
232023400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3932571 + ... + 3932629.
It is an arithmetic number, because the mean of its divisors is an integer number (4437650).
Almost surely, 2232023400 is an apocalyptic number.
232023400 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 232023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319510800).
232023400 is an abundant number, since it is smaller than the sum of its proper divisors (406998200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232023400 is a wasteful number, since it uses less digits than its factorization.
232023400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 188 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 16.
The square root of 232023400 is about 15232.3143349919. The cubic root of 232023400 is about 614.4840231248.
Adding to 232023400 its reverse (4320232), we get a palindrome (236343632).
The spelling of 232023400 in words is "two hundred thirty-two million, twenty-three thousand, four hundred".
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