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225345520 = 2452816819
BaseRepresentation
bin11010110111001…
…11111111110000
3120201000201221101
431123213333300
5430142024040
634205534144
75404256011
oct1533477760
9521021841
10225345520
11106224474
1263574354
13378bc85a
1421cdd008
1514bb409a
hexd6e7ff0

225345520 has 20 divisors (see below), whose sum is σ = 523928520. Its totient is φ = 90138176.

The previous prime is 225345511. The next prime is 225345521. The reversal of 225345520 is 25543522.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225345521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1408330 + ... + 1408489.

It is an arithmetic number, because the mean of its divisors is an integer number (26196426).

Almost surely, 2225345520 is an apocalyptic number.

225345520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225345520 is an abundant number, since it is smaller than the sum of its proper divisors (298583000).

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

225345520 is a wasteful number, since it uses less digits than its factorization.

225345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816832 (or 2816826 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 225345520 is about 15011.5129150929. The cubic root of 225345520 is about 608.5313769825.

The spelling of 225345520 in words is "two hundred twenty-five million, three hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2816819 5633638 11267276 14084095 22534552 28168190 45069104 56336380 112672760 225345520