224475140 has 48 divisors (see below), whose sum is σ = 508585392. Its totient is φ = 82907136.

The previous prime is 224475137. The next prime is 224475143. The reversal of 224475140 is 41574422.

It is an interprime number because it is at equal distance from previous prime (224475137) and next prime (224475143).

It can be written as a sum of positive squares in 8 ways, for example, as 28922884 + 195552256 = 5378^2 + 13984^2 .

It is not an unprimeable number, because it can be changed into a prime (224475143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11792 + ... + 24248.

It is an arithmetic number, because the mean of its divisors is an integer number (10595529).

Almost surely, 2^224475140 is an apocalyptic number.

224475140 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 224475140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254292696).

224475140 is an abundant number, since it is smaller than the sum of its proper divisors (284110252).

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

224475140 is a wasteful number, since it uses less digits than its factorization.

224475140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 224475140 is about 14982.4944518595. The cubic root of 224475140 is about 607.7468973347.

The spelling of 224475140 in words is "two hundred twenty-four million, four hundred seventy-five thousand, one hundred forty".