224131200 has 192 divisors, whose sum is σ = 759385920. Its totient is φ = 58060800.

The previous prime is 224131199. The next prime is 224131211. The reversal of 224131200 is 2131422.

224131200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224131200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354885 + ... + 355515.

It is an arithmetic number, because the mean of its divisors is an integer number (3955135).

Almost surely, 2^224131200 is an apocalyptic number.

224131200 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 224131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379692960).

224131200 is an abundant number, since it is smaller than the sum of its proper divisors (535254720).

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

224131200 is a wasteful number, since it uses less digits than its factorization.

224131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 224131200 is about 14971.0119898422. The cubic root of 224131200 is about 607.4363428024.

Adding to 224131200 its reverse (2131422), we get a palindrome (226262622).

The spelling of 224131200 in words is "two hundred twenty-four million, one hundred thirty-one thousand, two hundred".