225666320 has 80 divisors (see below), whose sum is σ = 578266560. Its totient is φ = 81216000.

The previous prime is 225666299. The next prime is 225666341. The reversal of 225666320 is 23666522.

It is an interprime number because it is at equal distance from previous prime (225666299) and next prime (225666341).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87611 + ... + 90149.

It is an arithmetic number, because the mean of its divisors is an integer number (7228332).

Almost surely, 2^225666320 is an apocalyptic number.

225666320 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 225666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289133280).

225666320 is an abundant number, since it is smaller than the sum of its proper divisors (352600240).

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

225666320 is a wasteful number, since it uses less digits than its factorization.

225666320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 225666320 is about 15022.1942471797. The cubic root of 225666320 is about 608.8200067906.

The spelling of 225666320 in words is "two hundred twenty-five million, six hundred sixty-six thousand, three hundred twenty".