225708336 has 160 divisors (see below), whose sum is σ = 748761600. Its totient is φ = 63763200.

The previous prime is 225708331. The next prime is 225708359. The reversal of 225708336 is 633807522.

225708336 is a `hidden beast` number, since 2 + 2 + 570 + 83 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225708336.

It is not an unprimeable number, because it can be changed into a prime (225708331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305055 + ... + 305793.

It is an arithmetic number, because the mean of its divisors is an integer number (4679760).

Almost surely, 2^225708336 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 225708336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374380800).

225708336 is an abundant number, since it is smaller than the sum of its proper divisors (523053264).

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

225708336 is a wasteful number, since it uses less digits than its factorization.

225708336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 225708336 is about 15023.5926462348. The cubic root of 225708336 is about 608.8577891145.

The spelling of 225708336 in words is "two hundred twenty-five million, seven hundred eight thousand, three hundred thirty-six".