Search a number
-
+
232405020052000 = 255358101255013
BaseRepresentation
bin110100110101111100000010…
…101010100000101000100000
31010110212200222102212002202021
4310311330002222200220200
5220430210440113131000
62142141220423031224
766644465023114165
oct6465740252405040
91113780872762667
10232405020052000
116806246303a994
1222095796b9b514
139c8a9126303a3
14415666a62406c
151bd05c430711a
hexd35f02aa0a20

232405020052000 has 48 divisors (see below), whose sum is σ = 571019134277592. Its totient is φ = 92962008019200.

The previous prime is 232405020051949. The next prime is 232405020052001. The reversal of 232405020052000 is 250020504232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45203408329104 + 187201611722896 = 6723348^2 + 13682164^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (232405020052001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29050623507 + ... + 29050631506.

Almost surely, 2232405020052000 is an apocalyptic number.

232405020052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232405020052000 is an abundant number, since it is smaller than the sum of its proper divisors (338614114225592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232405020052000 is an equidigital number, since it uses as much as digits as its factorization.

232405020052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58101255038 (or 58101255020 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 232405020052000 its reverse (250020504232), we get a palindrome (232655040556232).

The spelling of 232405020052000 in words is "two hundred thirty-two trillion, four hundred five billion, twenty million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 58101255013 116202510026 232405020052 290506275065 464810040104 581012550130 929620080208 1162025100260 1452531375325 1859240160416 2324050200520 2905062750650 4648100401040 5810125501300 7262656876625 9296200802080 11620251002600 14525313753250 23240502005200 29050627506500 46481004010400 58101255013000 116202510026000 232405020052000