224132240 has 80 divisors (see below), whose sum is σ = 557214336. Its totient is φ = 83635200.

The previous prime is 224132159. The next prime is 224132257. The reversal of 224132240 is 42231422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224132240² = 100470522014835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73955 + ... + 76925.

Almost surely, 2^224132240 is an apocalyptic number.

224132240 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 224132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278607168).

224132240 is an abundant number, since it is smaller than the sum of its proper divisors (333082096).

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

224132240 is a wasteful number, since it uses less digits than its factorization.

224132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 224132240 is about 14971.0467235928. The cubic root of 224132240 is about 607.4372823307.

Adding to 224132240 its reverse (42231422), we get a palindrome (266363662).

The spelling of 224132240 in words is "two hundred twenty-four million, one hundred thirty-two thousand, two hundred forty".