225764000 has 192 divisors, whose sum is σ = 692520192. Its totient is φ = 70272000.

The previous prime is 225763991. The next prime is 225764003. The reversal of 225764000 is 467522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225764003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307634 + ... + 308366.

It is an arithmetic number, because the mean of its divisors is an integer number (3606876).

Almost surely, 2^225764000 is an apocalyptic number.

225764000 is a gapful number since it is divisible by the number (20) 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 225764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346260096).

225764000 is an abundant number, since it is smaller than the sum of its proper divisors (466756192).

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

225764000 is a wasteful number, since it uses less digits than its factorization.

225764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 225764000 is about 15025.4450849218. The cubic root of 225764000 is about 608.9078369991.

The spelling of 225764000 in words is "two hundred twenty-five million, seven hundred sixty-four thousand".