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230338832225 = 5220333453133
BaseRepresentation
bin1101011010000101000…
…0111010011101100001
3211000112201011001022012
43112201100322131201
512233213220112400
6253452144322305
722433003524625
oct3264120723541
9730481131265
10230338832225
11897602a1967
1238784013395
131894a95a1c8
14b21152b185
155ed1bccd35
hex35a143a761

230338832225 has 12 divisors (see below), whose sum is σ = 285634829436. Its totient is φ = 184261596480.

The previous prime is 230338832221. The next prime is 230338832233. The reversal of 230338832225 is 522238833032.

It can be written as a sum of positive squares in 6 ways, for example, as 446392384 + 229892439841 = 21128^2 + 479471^2 .

It is not a de Polignac number, because 230338832225 - 22 = 230338832221 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230338832221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281759 + ... + 734891.

It is an arithmetic number, because the mean of its divisors is an integer number (23802902453).

Almost surely, 2230338832225 is an apocalyptic number.

230338832225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230338832225 is a deficient number, since it is larger than the sum of its proper divisors (55295997211).

230338832225 is a wasteful number, since it uses less digits than its factorization.

230338832225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473476 (or 473471 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 230338832225 in words is "two hundred thirty billion, three hundred thirty-eight million, eight hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 20333 101665 453133 508325 2265665 11328325 9213553289 46067766445 230338832225