224280240 has 160 divisors (see below), whose sum is σ = 724239360. Its totient is φ = 57372672.

The previous prime is 224280233. The next prime is 224280241. The reversal of 224280240 is 42082422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224280240.

It is not an unprimeable number, because it can be changed into a prime (224280241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665352 + ... + 665688.

It is an arithmetic number, because the mean of its divisors is an integer number (4526496).

Almost surely, 2^224280240 is an apocalyptic number.

224280240 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 224280240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362119680).

224280240 is an abundant number, since it is smaller than the sum of its proper divisors (499959120).

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

224280240 is a wasteful number, since it uses less digits than its factorization.

224280240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 224280240 is about 14975.9887820471. The cubic root of 224280240 is about 607.5709548107.

The spelling of 224280240 in words is "two hundred twenty-four million, two hundred eighty thousand, two hundred forty".