Base | Representation |
---|---|
bin | 11011101010000… |
… | …00101110010000 |
3 | 121011112211201102 |
4 | 31311000232100 |
5 | 433343003100 |
6 | 35004323532 |
7 | 5514654002 |
oct | 1565005620 |
9 | 534484642 |
10 | 232000400 |
11 | 109a5a375 |
12 | 658435a8 |
13 | 390ac958 |
14 | 22b52372 |
15 | 1557acd5 |
hex | dd40b90 |
232000400 has 30 divisors (see below), whose sum is σ = 557381922. Its totient is φ = 92800000.
The previous prime is 232000387. The next prime is 232000403. The reversal of 232000400 is 4000232.
It can be written as a sum of positive squares in 3 ways, for example, as 69488896 + 162511504 = 8336^2 + 12748^2 .
It is not an unprimeable number, because it can be changed into a prime (232000403) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289601 + ... + 290400.
Almost surely, 2232000400 is an apocalyptic number.
232000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
232000400 is an abundant number, since it is smaller than the sum of its proper divisors (325381522).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232000400 is a wasteful number, since it uses less digits than its factorization.
232000400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 580019 (or 580008 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 11.
The square root of 232000400 is about 15231.5593423654. The cubic root of 232000400 is about 614.4637182768.
Adding to 232000400 its reverse (4000232), we get a palindrome (236000632).
The spelling of 232000400 in words is "two hundred thirty-two million, four hundred", and thus it is an aban number.
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