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225038848 = 29538293
BaseRepresentation
bin11010110100111…
…01001000000000
3120200110011021011
431122131020000
5430102220343
634155210304
75401540636
oct1532351000
9520404234
10225038848
11106035021
1263446994
13378130a8
1421c5d356
1514b5329d
hexd69d200

225038848 has 40 divisors (see below), whose sum is σ = 458177148. Its totient is φ = 110383104.

The previous prime is 225038837. The next prime is 225038851. The reversal of 225038848 is 848830522.

It can be written as a sum of positive squares in 2 ways, for example, as 224760064 + 278784 = 14992^2 + 528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225038848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22990 + ... + 31282.

Almost surely, 2225038848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229088574).

225038848 is an abundant number, since it is smaller than the sum of its proper divisors (233138300).

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

225038848 is an frugal number, since it uses more digits than its factorization.

225038848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 225038848 is about 15001.2948774431. The cubic root of 225038848 is about 608.2552021923.

The spelling of 225038848 in words is "two hundred twenty-five million, thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3392 6784 8293 13568 16586 27136 33172 66344 132688 265376 439529 530752 879058 1061504 1758116 2123008 3516232 4246016 7032464 14064928 28129856 56259712 112519424 225038848