225793536 has 160 divisors (see below), whose sum is σ = 643753440. Its totient is φ = 70189056.

The previous prime is 225793517. The next prime is 225793537. The reversal of 225793536 is 635397522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225793537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1648060 + ... + 1648196.

It is an arithmetic number, because the mean of its divisors is an integer number (4023459).

Almost surely, 2^225793536 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 225793536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321876720).

225793536 is an abundant number, since it is smaller than the sum of its proper divisors (417959904).

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

225793536 is a wasteful number, since it uses less digits than its factorization.

225793536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 340200, while the sum is 42.

The square root of 225793536 is about 15026.4279188369. The cubic root of 225793536 is about 608.9343896790.

The spelling of 225793536 in words is "two hundred twenty-five million, seven hundred ninety-three thousand, five hundred thirty-six".