225346320 has 80 divisors (see below), whose sum is σ = 776200320. Its totient is φ = 60091776.

The previous prime is 225346313. The next prime is 225346337. The reversal of 225346320 is 23643522.

225346320 is a `hidden beast` number, since 2 + 25 + 3 + 4 + 632 + 0 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 50004 + ... + 54323.

It is an arithmetic number, because the mean of its divisors is an integer number (9702504).

Almost surely, 2^225346320 is an apocalyptic number.

225346320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225346320 is an abundant number, since it is smaller than the sum of its proper divisors (550854000).

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

225346320 is a wasteful number, since it uses less digits than its factorization.

225346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104349 (or 104337 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 225346320 is about 15011.5395612842. The cubic root of 225346320 is about 608.5320970982.

Adding to 225346320 its reverse (23643522), we get a palindrome (248989842).

The spelling of 225346320 in words is "two hundred twenty-five million, three hundred forty-six thousand, three hundred twenty".