Base | Representation |
---|---|
bin | 11011110010100… |
… | …00001011101100 |
3 | 121020122022221220 |
4 | 31321100023230 |
5 | 434134043200 |
6 | 35044223340 |
7 | 5530264461 |
oct | 1571201354 |
9 | 536568856 |
10 | 233112300 |
11 | 10a6497a3 |
12 | 6609ab50 |
13 | 393aba95 |
14 | 22d61668 |
15 | 156ea4a0 |
hex | de502ec |
233112300 has 36 divisors (see below), whose sum is σ = 674472456. Its totient is φ = 62163200.
The previous prime is 233112289. The next prime is 233112301. The reversal of 233112300 is 3211332.
233112300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2331123002 = 108682688822580000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 233112300.
It is not an unprimeable number, because it can be changed into a prime (233112301) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388221 + ... + 388820.
It is an arithmetic number, because the mean of its divisors is an integer number (18735346).
Almost surely, 2233112300 is an apocalyptic number.
233112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
233112300 is an abundant number, since it is smaller than the sum of its proper divisors (441360156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233112300 is a wasteful number, since it uses less digits than its factorization.
233112300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 777058 (or 777051 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 233112300 is about 15268.0155881503. The cubic root of 233112300 is about 615.4437936279.
Adding to 233112300 its reverse (3211332), we get a palindrome (236323632).
The spelling of 233112300 in words is "two hundred thirty-three million, one hundred twelve thousand, three hundred".
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