224052144 has 80 divisors (see below), whose sum is σ = 607461120. Its totient is φ = 71061760.

The previous prime is 224052121. The next prime is 224052151. The reversal of 224052144 is 441250422.

It is a happy number.

224052144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

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, 97699 + ... + 99965.

It is an arithmetic number, because the mean of its divisors is an integer number (7593264).

Almost surely, 2^224052144 is an apocalyptic number.

224052144 is a gapful number since it is divisible by the number (24) 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 224052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

224052144 is an abundant number, since it is smaller than the sum of its proper divisors (383408976).

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

224052144 is a wasteful number, since it uses less digits than its factorization.

224052144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 224052144 is about 14968.3714545037. The cubic root of 224052144 is about 607.3649156878.

The spelling of 224052144 in words is "two hundred twenty-four million, fifty-two thousand, one hundred forty-four".