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228400825 = 5229331181
BaseRepresentation
bin11011001110100…
…01111010111001
3120220202222000211
431213101322321
5431432311300
634355231121
75442242422
oct1547217271
9526688024
10228400825
11107a20a14
12645a84a1
133841c423
1422496649
15150b94ba
hexd9d1eb9

228400825 has 12 divisors (see below), whose sum is σ = 284192748. Its totient is φ = 182091200.

The previous prime is 228400819. The next prime is 228400847. The reversal of 228400825 is 528004822.

It can be written as a sum of positive squares in 6 ways, for example, as 7551504 + 220849321 = 2748^2 + 14861^2 .

It is not a de Polignac number, because 228400825 - 211 = 228398777 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8266 + ... + 22915.

It is an arithmetic number, because the mean of its divisors is an integer number (23682729).

Almost surely, 2228400825 is an apocalyptic number.

228400825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228400825 is a deficient number, since it is larger than the sum of its proper divisors (55791923).

228400825 is a wasteful number, since it uses less digits than its factorization.

228400825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31484 (or 31479 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 228400825 is about 15112.9356843732. The cubic root of 228400825 is about 611.2692598652.

The spelling of 228400825 in words is "two hundred twenty-eight million, four hundred thousand, eight hundred twenty-five".

Divisors: 1 5 25 293 1465 7325 31181 155905 779525 9136033 45680165 228400825