224770000 has 300 divisors, whose sum is σ = 708898080. Its totient is φ = 67392000.

The previous prime is 224769983. The next prime is 224770003. The reversal of 224770000 is 77422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224770003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11829991 + ... + 11830009.

Almost surely, 2^224770000 is an apocalyptic number.

224770000 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 224770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354449040).

224770000 is an abundant number, since it is smaller than the sum of its proper divisors (484128080).

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

224770000 is a wasteful number, since it uses less digits than its factorization.

224770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 224770000 is about 14992.3313730720. The cubic root of 224770000 is about 608.0128834989.

The spelling of 224770000 in words is "two hundred twenty-four million, seven hundred seventy thousand".