224400000 has 384 divisors, whose sum is σ = 860569920. Its totient is φ = 51200000.

The previous prime is 224399993. The next prime is 224400047. The reversal of 224400000 is 4422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

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, 13199992 + ... + 13200008.

Almost surely, 2^224400000 is an apocalyptic number.

224400000 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 224400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430284960).

224400000 is an abundant number, since it is smaller than the sum of its proper divisors (636169920).

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

224400000 is an equidigital number, since it uses as much as digits as its factorization.

224400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 224400000 is about 14979.9866488592. The cubic root of 224400000 is about 607.6790780977.

Adding to 224400000 its reverse (4422), we get a palindrome (224404422).

The spelling of 224400000 in words is "two hundred twenty-four million, four hundred thousand".