224242400 has 36 divisors (see below), whose sum is σ = 547433712. Its totient is φ = 89696640.

The previous prime is 224242397. The next prime is 224242441. The reversal of 224242400 is 4242422.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139352 + ... + 140951.

It is an arithmetic number, because the mean of its divisors is an integer number (15206492).

Almost surely, 2^224242400 is an apocalyptic number.

224242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224242400 is an abundant number, since it is smaller than the sum of its proper divisors (323191312).

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

224242400 is a wasteful number, since it uses less digits than its factorization.

224242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280323 (or 280310 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 224242400 is about 14974.7253731078. The cubic root of 224242400 is about 607.5367836060.

Adding to 224242400 its reverse (4242422), we get a palindrome (228484822).

The spelling of 224242400 in words is "two hundred twenty-four million, two hundred forty-two thousand, four hundred".