224001200 has 60 divisors (see below), whose sum is σ = 540504840. Its totient is φ = 89210880.

The previous prime is 224001149. The next prime is 224001221. The reversal of 224001200 is 2100422.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101711 + ... + 103889.

It is an arithmetic number, because the mean of its divisors is an integer number (9008414).

Almost surely, 2^224001200 is an apocalyptic number.

224001200 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 224001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270252420).

224001200 is an abundant number, since it is smaller than the sum of its proper divisors (316503640).

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

224001200 is a wasteful number, since it uses less digits than its factorization.

224001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 224001200 is about 14966.6696362284. The cubic root of 224001200 is about 607.3188788693.

Adding to 224001200 its reverse (2100422), we get a palindrome (226101622).

The spelling of 224001200 in words is "two hundred twenty-four million, one thousand, two hundred".