225682329600 has 2340 divisors, whose sum is σ = 1079533958976. Its totient is φ = 45546209280.

The previous prime is 225682329529. The next prime is 225682329641. The reversal of 225682329600 is 6923286522.

225682329600 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 8 + 2 + 32 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2340).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9812275189 + ... + 9812275211.

Almost surely, 2^225682329600 is an apocalyptic number.

225682329600 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 225682329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539766979488).

225682329600 is an abundant number, since it is smaller than the sum of its proper divisors (853851629376).

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

225682329600 is a wasteful number, since it uses less digits than its factorization.

225682329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 225682329600 in words is "two hundred twenty-five billion, six hundred eighty-two million, three hundred twenty-nine thousand, six hundred".