Base | Representation |
---|---|
bin | 11011101010010… |
… | …11000000000100 |
3 | 121011121222110200 |
4 | 31311023000010 |
5 | 433400330000 |
6 | 35005250500 |
7 | 5515220514 |
oct | 1565130004 |
9 | 534558420 |
10 | 232042500 |
11 | 109a88a68 |
12 | 65863a30 |
13 | 390c5b71 |
14 | 22b63844 |
15 | 15588500 |
hex | dd4b004 |
232042500 has 90 divisors (see below), whose sum is σ = 733026294. Its totient is φ = 61872000.
The previous prime is 232042487. The next prime is 232042501. The reversal of 232042500 is 5240232.
It can be written as a sum of positive squares in 5 ways, for example, as 101123136 + 130919364 = 10056^2 + 11442^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a hoax number, since the sum of its digits (18) 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 (18).
It is not an unprimeable number, because it can be changed into a prime (232042501) 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 29 ways as a sum of consecutive naturals, for example, 17344 + ... + 27656.
Almost surely, 2232042500 is an apocalyptic number.
232042500 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 232042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366513147).
232042500 is an abundant number, since it is smaller than the sum of its proper divisors (500983794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232042500 is a wasteful number, since it uses less digits than its factorization.
232042500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10343 (or 10323 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 232042500 is about 15232.9412786894. The cubic root of 232042500 is about 614.5008839569.
Adding to 232042500 its reverse (5240232), we get a palindrome (237282732).
The spelling of 232042500 in words is "two hundred thirty-two million, forty-two thousand, five hundred".
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