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225189920 = 2552775081
BaseRepresentation
bin11010110110000…
…10000000100000
3120200201211111102
431123002000200
5430122034140
634202333532
75403040244
oct1533020040
9520654442
10225189920
1110612857a
12634ba2a8
1337866a97
1421c9c424
1514b82e15
hexd6c2020

225189920 has 48 divisors (see below), whose sum is σ = 534036888. Its totient is φ = 89733120.

The previous prime is 225189911. The next prime is 225189947. The reversal of 225189920 is 29981522.

It can be written as a sum of positive squares in 4 ways, for example, as 99121936 + 126067984 = 9956^2 + 11228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41780 + ... + 46860.

Almost surely, 2225189920 is an apocalyptic number.

225189920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267018444).

225189920 is an abundant number, since it is smaller than the sum of its proper divisors (308846968).

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

225189920 is a wasteful number, since it uses less digits than its factorization.

225189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 225189920 is about 15006.3293313188. The cubic root of 225189920 is about 608.3912820676.

The spelling of 225189920 in words is "two hundred twenty-five million, one hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2770 4432 5081 5540 8864 10162 11080 20324 22160 25405 40648 44320 50810 81296 101620 162592 203240 406480 812960 1407437 2814874 5629748 7037185 11259496 14074370 22518992 28148740 45037984 56297480 112594960 225189920