224351140 has 48 divisors (see below), whose sum is σ = 510515712. Its totient is φ = 82325376.

The previous prime is 224351087. The next prime is 224351189. The reversal of 224351140 is 41153422.

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, 40837 + ... + 46003.

It is an arithmetic number, because the mean of its divisors is an integer number (10635744).

Almost surely, 2^224351140 is an apocalyptic number.

224351140 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 224351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255257856).

224351140 is an abundant number, since it is smaller than the sum of its proper divisors (286164572).

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

224351140 is a wasteful number, since it uses less digits than its factorization.

224351140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 224351140 is about 14978.3557175012. The cubic root of 224351140 is about 607.6349703214.

The spelling of 224351140 in words is "two hundred twenty-four million, three hundred fifty-one thousand, one hundred forty".