224272640 has 72 divisors (see below), whose sum is σ = 543932928. Its totient is φ = 88586240.

The previous prime is 224272639. The next prime is 224272667. The reversal of 224272640 is 46272422.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105185 + ... + 107295.

It is an arithmetic number, because the mean of its divisors is an integer number (7554624).

Almost surely, 2^224272640 is an apocalyptic number.

224272640 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 224272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271966464).

224272640 is an abundant number, since it is smaller than the sum of its proper divisors (319660288).

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

224272640 is an equidigital number, since it uses as much as digits as its factorization.

224272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 224272640 is about 14975.7350403912. The cubic root of 224272640 is about 607.5640919808.

The spelling of 224272640 in words is "two hundred twenty-four million, two hundred seventy-two thousand, six hundred forty".