225736704 has 144 divisors (see below), whose sum is σ = 671612760. Its totient is φ = 72990720.

The previous prime is 225736673. The next prime is 225736729. The reversal of 225736704 is 407637522.

It is a happy number.

225736704 is a `hidden beast` number, since 22 + 573 + 67 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 681819 + ... + 682149.

Almost surely, 2^225736704 is an apocalyptic number.

225736704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335806380).

225736704 is an abundant number, since it is smaller than the sum of its proper divisors (445876056).

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

225736704 is a wasteful number, since it uses less digits than its factorization.

225736704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 225736704 is about 15024.5367316267. The cubic root of 225736704 is about 608.8832960062.

The spelling of 225736704 in words is "two hundred twenty-five million, seven hundred thirty-six thousand, seven hundred four".