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225897440 = 25512711117
BaseRepresentation
bin11010111011011…
…10101111100000
3120202001210000212
431131232233200
5430312204230
634225433252
75412045056
oct1535565740
9522053025
10225897440
111065710aa
126379b828
1337a53b32
14220041d6
1514c72895
hexd76ebe0

225897440 has 48 divisors (see below), whose sum is σ = 537933312. Its totient is φ = 89639424.

The previous prime is 225897407. The next prime is 225897563. The reversal of 225897440 is 44798522.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 14762 + ... + 25878.

It is an arithmetic number, because the mean of its divisors is an integer number (11206944).

Almost surely, 2225897440 is an apocalyptic number.

225897440 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 225897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268966656).

225897440 is an abundant number, since it is smaller than the sum of its proper divisors (312035872).

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

225897440 is a wasteful number, since it uses less digits than its factorization.

225897440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 225897440 is about 15029.8848964322. The cubic root of 225897440 is about 609.0277803303.

The spelling of 225897440 in words is "two hundred twenty-five million, eight hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 5080 10160 11117 20320 22234 44468 55585 88936 111170 177872 222340 355744 444680 889360 1411859 1778720 2823718 5647436 7059295 11294872 14118590 22589744 28237180 45179488 56474360 112948720 225897440