222129200 has 60 divisors (see below), whose sum is σ = 537391200. Its totient is φ = 88231680.

The previous prime is 222129181. The next prime is 222129203. The reversal of 222129200 is 2921222.

222129200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (222129203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57737 + ... + 61463.

It is an arithmetic number, because the mean of its divisors is an integer number (8956520).

Almost surely, 2^222129200 is an apocalyptic number.

222129200 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 222129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268695600).

222129200 is an abundant number, since it is smaller than the sum of its proper divisors (315262000).

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

222129200 is a wasteful number, since it uses less digits than its factorization.

222129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 222129200 is about 14903.9994632313. Note that the first 3 decimals coincide. The cubic root of 222129200 is about 605.6223361840.

The spelling of 222129200 in words is "two hundred twenty-two million, one hundred twenty-nine thousand, two hundred".