224244260200 has 96 divisors (see below), whose sum is σ = 539374149720. Its totient is φ = 86643200000.

The previous prime is 224244260147. The next prime is 224244260243. The reversal of 224244260200 is 2062442422.

224244260200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 75274507044 + 148969753156 = 274362^2 + 385966^2 .

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, 692820 + ... + 963580.

Almost surely, 2^224244260200 is an apocalyptic number.

224244260200 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 224244260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269687074860).

224244260200 is an abundant number, since it is smaller than the sum of its proper divisors (315129889520).

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

224244260200 is a wasteful number, since it uses less digits than its factorization.

224244260200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270919 (or 270910 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The spelling of 224244260200 in words is "two hundred twenty-four billion, two hundred forty-four million, two hundred sixty thousand, two hundred".