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225815013 = 3314956131
BaseRepresentation
bin11010111010110…
…10100111100101
3120201220120222000
431131122213211
5430302040023
634223555513
75411252544
oct1535324745
9521816860
10225815013
11106515186
126375bb99
1337a25468
1421dc215b
1514c58243
hexd75a9e5

225815013 has 16 divisors (see below), whose sum is σ = 336792000. Its totient is φ = 149530320.

The previous prime is 225814999. The next prime is 225815027. The reversal of 225815013 is 310518522.

It is a happy number.

225815013 is a `hidden beast` number, since 22 + 581 + 50 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (225814999) and next prime (225815027).

It is a de Polignac number, because none of the positive numbers 2k-225815013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225815113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24043 + ... + 32088.

It is an arithmetic number, because the mean of its divisors is an integer number (21049500).

Almost surely, 2225815013 is an apocalyptic number.

It is an amenable number.

225815013 is a deficient number, since it is larger than the sum of its proper divisors (110976987).

225815013 is a wasteful number, since it uses less digits than its factorization.

225815013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56289 (or 56283 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 225815013 is about 15027.1425427458. The cubic root of 225815013 is about 608.9536959140.

It can be divided in two parts, 22581501 and 3, that added together give a square (22581504 = 47522).

The spelling of 225815013 in words is "two hundred twenty-five million, eight hundred fifteen thousand, thirteen".

Divisors: 1 3 9 27 149 447 1341 4023 56131 168393 505179 1515537 8363519 25090557 75271671 225815013