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225634288 = 24113734649
BaseRepresentation
bin11010111001011…
…10011111110000
3120201120102001111
431130232133300
5430230244123
634220043104
75406600625
oct1534563760
9521512044
10225634288
11106401420
1263693494
1337991119
1421d7634c
1514c1e90d
hexd72e7f0

225634288 has 40 divisors (see below), whose sum is σ = 489812400. Its totient is φ = 99786240.

The previous prime is 225634273. The next prime is 225634307. The reversal of 225634288 is 882436522.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225634288.

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, 10813 + ... + 23836.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 2225634288 is an apocalyptic number.

It is an amenable number.

225634288 is an abundant number, since it is smaller than the sum of its proper divisors (264178112).

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

225634288 is a wasteful number, since it uses less digits than its factorization.

225634288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34705 (or 34699 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 225634288 is about 15021.1280535118. The cubic root of 225634288 is about 608.7911992940.

The spelling of 225634288 in words is "two hundred twenty-five million, six hundred thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1628 3256 6512 34649 69298 138596 277192 381139 554384 762278 1282013 1524556 2564026 3049112 5128052 6098224 10256104 14102143 20512208 28204286 56408572 112817144 225634288