225067744 has 72 divisors (see below), whose sum is σ = 500527944. Its totient is φ = 99475200.

The previous prime is 225067741. The next prime is 225067751. The reversal of 225067744 is 447760522.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225067741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142479 + ... + 144049.

It is an arithmetic number, because the mean of its divisors is an integer number (6951777).

Almost surely, 2^225067744 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 225067744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250263972).

225067744 is an abundant number, since it is smaller than the sum of its proper divisors (275460200).

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

225067744 is a wasteful number, since it uses less digits than its factorization.

225067744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 225067744 is about 15002.2579633867. The cubic root of 225067744 is about 608.2812353124.

The spelling of 225067744 in words is "two hundred twenty-five million, sixty-seven thousand, seven hundred forty-four".