224253000 has 96 divisors (see below), whose sum is σ = 758005560. Its totient is φ = 59798400.

The previous prime is 224252927. The next prime is 224253023. The reversal of 224253000 is 352422.

224253000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86378436 + 137874564 = 9294^2 + 11742^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3459 + ... + 21458.

Almost surely, 2^224253000 is an apocalyptic number.

224253000 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 224253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379002780).

224253000 is an abundant number, since it is smaller than the sum of its proper divisors (533752560).

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

224253000 is a wasteful number, since it uses less digits than its factorization.

224253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24944 (or 24927 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 224253000 is about 14975.0792986214. The cubic root of 224253000 is about 607.5463562655.

It can be divided in two parts, 22425 and 3000, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 224253000 in words is "two hundred twenty-four million, two hundred fifty-three thousand".