224952390 has 96 divisors (see below), whose sum is σ = 653286816. Its totient is φ = 55365120.

The previous prime is 224952389. The next prime is 224952407. The reversal of 224952390 is 93259422.

224952390 is a `hidden beast` number, since 2 + 2 + 49 + 523 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28030 + ... + 35150.

It is an arithmetic number, because the mean of its divisors is an integer number (6805071).

Almost surely, 2^224952390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224952390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326643408).

224952390 is an abundant number, since it is smaller than the sum of its proper divisors (428334426).

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

224952390 is a wasteful number, since it uses less digits than its factorization.

224952390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 224952390 is about 14998.4129160388. The cubic root of 224952390 is about 608.1772967330.

The spelling of 224952390 in words is "two hundred twenty-four million, nine hundred fifty-two thousand, three hundred ninety".