Base | Representation |
---|---|
bin | 11011101011110… |
… | …01100010100000 |
3 | 121011222122221200 |
4 | 31311321202200 |
5 | 433422424440 |
6 | 35013321200 |
7 | 5516643330 |
oct | 1565714240 |
9 | 534878850 |
10 | 232233120 |
11 | 10a0a91a9 |
12 | 65936200 |
13 | 39161862 |
14 | 22bb30c0 |
15 | 155c4c30 |
hex | dd798a0 |
232233120 has 144 divisors (see below), whose sum is σ = 905748480. Its totient is φ = 53079552.
The previous prime is 232233101. The next prime is 232233149. The reversal of 232233120 is 21332232.
It is a happy number.
232233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 232233093 and 232233102.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440 + ... + 21599.
It is an arithmetic number, because the mean of its divisors is an integer number (6289920).
Almost surely, 2232233120 is an apocalyptic number.
232233120 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 232233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).
232233120 is an abundant number, since it is smaller than the sum of its proper divisors (673515360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232233120 is a wasteful number, since it uses less digits than its factorization.
232233120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23067 (or 23056 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 232233120 is about 15239.1968292296. The cubic root of 232233120 is about 614.6691061545.
Adding to 232233120 its reverse (21332232), we get a palindrome (253565352).
The spelling of 232233120 in words is "two hundred thirty-two million, two hundred thirty-three thousand, one hundred twenty".
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