Base | Representation |
---|---|
bin | 11011101011100… |
… | …01100000000000 |
3 | 121011220222210010 |
4 | 31311301200000 |
5 | 433420401232 |
6 | 35012504520 |
7 | 5516445330 |
oct | 1565614000 |
9 | 534828703 |
10 | 232200192 |
11 | 10a086494 |
12 | 6591b140 |
13 | 3914c883 |
14 | 22ba50c0 |
15 | 155ba0cc |
hex | dd71800 |
232200192 has 96 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 66330624.
The previous prime is 232200191. The next prime is 232200209. The reversal of 232200192 is 291002232.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232200191) 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 7 ways as a sum of consecutive naturals, for example, 40309 + ... + 45707.
It is an arithmetic number, because the mean of its divisors is an integer number (7371000).
Almost surely, 2232200192 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).
232200192 is an abundant number, since it is smaller than the sum of its proper divisors (475415808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232200192 is an equidigital number, since it uses as much as digits as its factorization.
232200192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5431 (or 5411 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
The square root of 232200192 is about 15238.1164190329. The cubic root of 232200192 is about 614.6400537652.
The spelling of 232200192 in words is "two hundred thirty-two million, two hundred thousand, one hundred ninety-two".
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