225300080 has 20 divisors (see below), whose sum is σ = 523822872. Its totient is φ = 90120000.

The previous prime is 225300079. The next prime is 225300083. The reversal of 225300080 is 80003522.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225300083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1408046 + ... + 1408205.

Almost surely, 2^225300080 is an apocalyptic number.

225300080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225300080 is an abundant number, since it is smaller than the sum of its proper divisors (298522792).

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

225300080 is a wasteful number, since it uses less digits than its factorization.

225300080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816264 (or 2816258 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225300080 is about 15009.9993337775. Note that the first 3 decimals coincide. The cubic root of 225300080 is about 608.4904716140.

Adding to 225300080 its sum of digits (20), we get a square (225300100 = 15010²).

The spelling of 225300080 in words is "two hundred twenty-five million, three hundred thousand, eighty".