225374688 has 144 divisors (see below), whose sum is σ = 799134336. Its totient is φ = 58533120.

The previous prime is 225374671. The next prime is 225374719. The reversal of 225374688 is 886473522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17095 + ... + 27257.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2^225374688 is an apocalyptic number.

225374688 is a gapful number since it is divisible by the number (28) 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 225374688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399567168).

225374688 is an abundant number, since it is smaller than the sum of its proper divisors (573759648).

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

225374688 is a wasteful number, since it uses less digits than its factorization.

225374688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197 (or 10186 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 225374688 is about 15012.4844046547. The cubic root of 225374688 is about 608.5576312985.

It can be divided in two parts, 22537 and 4688, that added together give a square (27225 = 165²).

The spelling of 225374688 in words is "two hundred twenty-five million, three hundred seventy-four thousand, six hundred eighty-eight".