224264200 has 48 divisors (see below), whose sum is σ = 531277380. Its totient is φ = 88008960.

The previous prime is 224264197. The next prime is 224264203. The reversal of 224264200 is 2462422.

It is an interprime number because it is at equal distance from previous prime (224264197) and next prime (224264203).

It can be written as a sum of positive squares in 6 ways, for example, as 42068196 + 182196004 = 6486^2 + 13498^2 .

It is not an unprimeable number, because it can be changed into a prime (224264203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 21178.

Almost surely, 2^224264200 is an apocalyptic number.

224264200 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 224264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265638690).

224264200 is an abundant number, since it is smaller than the sum of its proper divisors (307013180).

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

224264200 is a wasteful number, since it uses less digits than its factorization.

224264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21226 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 224264200 is about 14975.4532485665. The cubic root of 224264200 is about 607.5564704459.

The spelling of 224264200 in words is "two hundred twenty-four million, two hundred sixty-four thousand, two hundred".