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232205200141225 = 5229333316647053
BaseRepresentation
bin110100110011000001111100…
…011110000010101110101001
31010110011121012122102220020011
4310303001330132002232221
5220413422222214004400
62141505332444531521
766624162216646513
oct6463017436025651
91113147178386204
10232205200141225
1167a957439a2463
1222062b0b850ba1
139c74b197168ac
14414ab12420bb3
151bca2cbaa78ba
hexd3307c782ba9

232205200141225 has 12 divisors (see below), whose sum is σ = 287944265143116. Its totient is φ = 185757826585280.

The previous prime is 232205200141217. The next prime is 232205200141297. The reversal of 232205200141225 is 522141002502232.

232205200141225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5287461104704 + 226917739036521 = 2299448^2 + 15063789^2 .

It is not a de Polignac number, because 232205200141225 - 23 = 232205200141217 is a prime.

It is a super-3 number, since 3×2322052001412253 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157590202 + ... + 159056851.

It is an arithmetic number, because the mean of its divisors is an integer number (23995355428593).

Almost surely, 2232205200141225 is an apocalyptic number.

232205200141225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232205200141225 is a deficient number, since it is larger than the sum of its proper divisors (55739065001891).

232205200141225 is a wasteful number, since it uses less digits than its factorization.

232205200141225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316676396 (or 316676391 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 232205200141225 its reverse (522141002502232), we get a palindrome (754346202643457).

The spelling of 232205200141225 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred million, one hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 29333 146665 733325 316647053 1583235265 7916176325 9288208005649 46441040028245 232205200141225