224947200 has 264 divisors, whose sum is σ = 776713680. Its totient is φ = 57344000.

The previous prime is 224947169. The next prime is 224947201. The reversal of 224947200 is 2749422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (224947201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227150 + ... + 2227250.

Almost surely, 2^224947200 is an apocalyptic number.

224947200 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 224947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388356840).

224947200 is an abundant number, since it is smaller than the sum of its proper divisors (551766480).

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

224947200 is a wasteful number, since it uses less digits than its factorization.

224947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 224947200 is about 14998.2398967345. The cubic root of 224947200 is about 608.1726194997.

The spelling of 224947200 in words is "two hundred twenty-four million, nine hundred forty-seven thousand, two hundred".