225207840 has 384 divisors, whose sum is σ = 887023872. Its totient is φ = 47185920.

The previous prime is 225207821. The next prime is 225207869. The reversal of 225207840 is 48702522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225207798 and 225207807.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1166784 + ... + 1166976.

It is an arithmetic number, because the mean of its divisors is an integer number (2309958).

Almost surely, 2^225207840 is an apocalyptic number.

225207840 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 225207840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443511936).

225207840 is an abundant number, since it is smaller than the sum of its proper divisors (661816032).

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

225207840 is a wasteful number, since it uses less digits than its factorization.

225207840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 225207840 is about 15006.9264008324. The cubic root of 225207840 is about 608.4074196795.

The spelling of 225207840 in words is "two hundred twenty-five million, two hundred seven thousand, eight hundred forty".