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225185448 = 23341228847
BaseRepresentation
bin11010110110000…
…00111010101000
3120200201121100210
431123000322220
5430121413243
634202301120
75403021225
oct1533007250
9520647323
10225185448
11106125184
12634b77a0
1337864a37
1421c9a94c
1514b81933
hexd6c0ea8

225185448 has 32 divisors (see below), whose sum is σ = 576696960. Its totient is φ = 73230720.

The previous prime is 225185447. The next prime is 225185449. The reversal of 225185448 is 844581522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225185447) and next prime (225185449).

It is not an unprimeable number, because it can be changed into a prime (225185447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113440 + ... + 115407.

It is an arithmetic number, because the mean of its divisors is an integer number (18021780).

Almost surely, 2225185448 is an apocalyptic number.

It is an amenable number.

225185448 is an abundant number, since it is smaller than the sum of its proper divisors (351511512).

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

225185448 is a wasteful number, since it uses less digits than its factorization.

225185448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228897 (or 228893 counting only the distinct ones).

The product of its digits is 102400, while the sum is 39.

The square root of 225185448 is about 15006.1803267854. The cubic root of 225185448 is about 608.3872547354.

It can be divided in two parts, 22518 and 5448, that added together give a triangular number (27966 = T236).

The spelling of 225185448 in words is "two hundred twenty-five million, one hundred eighty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 228847 457694 686541 915388 1373082 1830776 2746164 5492328 9382727 18765454 28148181 37530908 56296362 75061816 112592724 225185448