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225525402 = 232192922739
BaseRepresentation
bin11010111000100…
…11111010011010
3120201100212200200
431130103322122
5430213303102
634213443030
75405635314
oct1534237232
9521325620
10225525402
11106337633
1263640476
13379536ab
1421d487b4
1514bec51c
hexd713e9a

225525402 has 48 divisors (see below), whose sum is σ = 532116000. Its totient is φ = 68759712.

The previous prime is 225525389. The next prime is 225525407. The reversal of 225525402 is 204525522.

225525402 is a `hidden beast` number, since 2 + 255 + 2 + 5 + 402 = 666.

It is not an unprimeable number, because it can be changed into a prime (225525407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452 + ... + 21287.

It is an arithmetic number, because the mean of its divisors is an integer number (11085750).

Almost surely, 2225525402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225525402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266058000).

225525402 is an abundant number, since it is smaller than the sum of its proper divisors (306590598).

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

225525402 is a wasteful number, since it uses less digits than its factorization.

225525402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22795 (or 22792 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 225525402 is about 15017.5031879471. The cubic root of 225525402 is about 608.6932539194.

The spelling of 225525402 in words is "two hundred twenty-five million, five hundred twenty-five thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 9918 22739 45478 68217 136434 204651 409302 432041 659431 864082 1296123 1318862 1978293 2592246 3888369 3956586 5934879 7776738 11869758 12529189 25058378 37587567 75175134 112762701 225525402