Base | Representation |
---|---|
bin | 11011101100010… |
… | …00101010000000 |
3 | 121012002210220000 |
4 | 31312020222000 |
5 | 433431420130 |
6 | 35014520000 |
7 | 5520322005 |
oct | 1566105200 |
9 | 535083800 |
10 | 232295040 |
11 | 10a14077a |
12 | 65966000 |
13 | 39183ab3 |
14 | 22bcb8ac |
15 | 155d8260 |
hex | dd88a80 |
232295040 has 160 divisors (see below), whose sum is σ = 829752660. Its totient is φ = 61931520.
The previous prime is 232295033. The next prime is 232295057. The reversal of 232295040 is 40592232.
It can be written as a sum of positive squares in 2 ways, for example, as 230796864 + 1498176 = 15192^2 + 1224^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 232294995 and 232295013.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 49600 + ... + 54080.
Almost surely, 2232295040 is an apocalyptic number.
232295040 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 232295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414876330).
232295040 is an abundant number, since it is smaller than the sum of its proper divisors (597457620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232295040 is an equidigital number, since it uses as much as digits as its factorization.
232295040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4512 (or 4491 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 232295040 is about 15241.2282969582. The cubic root of 232295040 is about 614.7237307617.
The spelling of 232295040 in words is "two hundred thirty-two million, two hundred ninety-five thousand, forty".
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