224231400 has 144 divisors (see below), whose sum is σ = 757317600. Its totient is φ = 59456640.

The previous prime is 224231383. The next prime is 224231417. The reversal of 224231400 is 4132422.

It is an interprime number because it is at equal distance from previous prime (224231383) and next prime (224231417).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 624421 + ... + 624779.

It is an arithmetic number, because the mean of its divisors is an integer number (5259150).

Almost surely, 2^224231400 is an apocalyptic number.

224231400 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 224231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378658800).

224231400 is an abundant number, since it is smaller than the sum of its proper divisors (533086200).

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

224231400 is a wasteful number, since it uses less digits than its factorization.

224231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224231400 is about 14974.3580830699. The cubic root of 224231400 is about 607.5268493951.

Adding to 224231400 its reverse (4132422), we get a palindrome (228363822).

The spelling of 224231400 in words is "two hundred twenty-four million, two hundred thirty-one thousand, four hundred".