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225465044 = 22723714931
BaseRepresentation
bin11010111000001…
…01001011010100
3120201020210220012
431130011023110
5430204340134
634212255352
75405264330
oct1534051324
9521223805
10225465044
111062a6252
1263611558
133793208c
1421d307c0
1514bd96ce
hexd7052d4

225465044 has 48 divisors (see below), whose sum is σ = 477259776. Its totient is φ = 91106400.

The previous prime is 225465041. The next prime is 225465073. The reversal of 225465044 is 440564522.

It is a self number, because there is not a number n which added to its sum of digits gives 225465044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225465041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43259 + ... + 48189.

It is an arithmetic number, because the mean of its divisors is an integer number (9942912).

Almost surely, 2225465044 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 225465044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238629888).

225465044 is an abundant number, since it is smaller than the sum of its proper divisors (251794732).

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

225465044 is a wasteful number, since it uses less digits than its factorization.

225465044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 225465044 is about 15015.4934650847. The cubic root of 225465044 is about 608.6389469764.

The spelling of 225465044 in words is "two hundred twenty-five million, four hundred sixty-five thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 71 92 142 161 284 322 497 644 994 1633 1988 3266 4931 6532 9862 11431 19724 22862 34517 45724 69034 113413 138068 226826 350101 453652 700202 793891 1400404 1587782 2450707 3175564 4901414 8052323 9802828 16104646 32209292 56366261 112732522 225465044