225534000 has 80 divisors (see below), whose sum is σ = 727140960. Its totient is φ = 60140800.

The previous prime is 225533983. The next prime is 225534017. The reversal of 225534000 is 435522.

It is an interprime number because it is at equal distance from previous prime (225533983) and next prime (225534017).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12795 + ... + 24794.

It is an arithmetic number, because the mean of its divisors is an integer number (9089262).

Almost surely, 2^225534000 is an apocalyptic number.

225534000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225534000 is an abundant number, since it is smaller than the sum of its proper divisors (501606960).

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

225534000 is a wasteful number, since it uses less digits than its factorization.

225534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37615 (or 37599 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 225534000 is about 15017.7894511809. The cubic root of 225534000 is about 608.7009891576.

Adding to 225534000 its reverse (435522), we get a palindrome (225969522).

The spelling of 225534000 in words is "two hundred twenty-five million, five hundred thirty-four thousand".