224055040 has 72 divisors (see below), whose sum is σ = 585507888. Its totient is φ = 81469440.

The previous prime is 224055023. The next prime is 224055061. The reversal of 224055040 is 40550422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6124 + ... + 22036.

It is an arithmetic number, because the mean of its divisors is an integer number (8132054).

Almost surely, 2^224055040 is an apocalyptic number.

224055040 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 224055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292753944).

224055040 is an abundant number, since it is smaller than the sum of its proper divisors (361452848).

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

224055040 is a wasteful number, since it uses less digits than its factorization.

224055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15945 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 224055040 is about 14968.4681915018. The cubic root of 224055040 is about 607.3675325209.

It can be divided in two parts, 2 and 24055040, that added together give a palindrome (24055042).

The spelling of 224055040 in words is "two hundred twenty-four million, fifty-five thousand, forty".