225754656 has 96 divisors (see below), whose sum is σ = 634334400. Its totient is φ = 70087680.

The previous prime is 225754643. The next prime is 225754663. The reversal of 225754656 is 656457522.

225754656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110250 + ... + 112278.

It is an arithmetic number, because the mean of its divisors is an integer number (6607650).

Almost surely, 2^225754656 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 225754656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317167200).

225754656 is an abundant number, since it is smaller than the sum of its proper divisors (408579744).

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

225754656 is a wasteful number, since it uses less digits than its factorization.

225754656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2114 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

The square root of 225754656 is about 15025.1341424960. The cubic root of 225754656 is about 608.8994363192.

The spelling of 225754656 in words is "two hundred twenty-five million, seven hundred fifty-four thousand, six hundred fifty-six".