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225814995 = 32571742169
BaseRepresentation
bin11010111010110…
…10100111010011
3120201220120221100
431131122213103
5430302034440
634223555443
75411252520
oct1535324723
9521816840
10225814995
1110651516a
126375bb83
1337a25453
1421dc2147
1514c58230
hexd75a9d3

225814995 has 48 divisors (see below), whose sum is σ = 473653440. Its totient is φ = 97155072.

The previous prime is 225814957. The next prime is 225814999. The reversal of 225814995 is 599418522.

It is a happy number.

225814995 is a `hidden beast` number, since 22 + 581 + 49 + 9 + 5 = 666.

It is not a de Polignac number, because 225814995 - 217 = 225683923 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225814995.

It is not an unprimeable number, because it can be changed into a prime (225814999) 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 47 ways as a sum of consecutive naturals, for example, 15730 + ... + 26439.

It is an arithmetic number, because the mean of its divisors is an integer number (9867780).

Almost surely, 2225814995 is an apocalyptic number.

225814995 is an abundant number, since it is smaller than the sum of its proper divisors (247838445).

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

225814995 is a wasteful number, since it uses less digits than its factorization.

225814995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42204 (or 42201 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 225814995 is about 15027.1419438295. The cubic root of 225814995 is about 608.9536797339.

It can be divided in two parts, 22581499 and 5, that added together give a square (22581504 = 47522).

The spelling of 225814995 in words is "two hundred twenty-five million, eight hundred fourteen thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 42169 126507 210845 295183 379521 632535 716873 885549 1475915 1897605 2150619 2656647 3584365 4427745 5018111 6451857 10753095 13283235 15054333 25090555 32259285 45162999 75271665 225814995