224442900 has 270 divisors, whose sum is σ = 803201630. Its totient is φ = 54172800.

The previous prime is 224442893. The next prime is 224442913. The reversal of 224442900 is 9244422.

It can be written as a sum of positive squares in 3 ways, for example, as 53670276 + 170772624 = 7326^2 + 13068^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 979986 + ... + 980214.

Almost surely, 2^224442900 is an apocalyptic number.

224442900 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 224442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401600815).

224442900 is an abundant number, since it is smaller than the sum of its proper divisors (578758730).

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

224442900 is a wasteful number, since it uses less digits than its factorization.

224442900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 224442900 is about 14981.4184909173. The cubic root of 224442900 is about 607.7178002773.

The spelling of 224442900 in words is "two hundred twenty-four million, four hundred forty-two thousand, nine hundred".