222091200 has 336 divisors, whose sum is σ = 833384160. Its totient is φ = 57507840.

The previous prime is 222091187. The next prime is 222091201. The reversal of 222091200 is 2190222.

It is a super-2 number, since 2×222091200² = 98649002234880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222091201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289552 + ... + 2289648.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2^222091200 is an apocalyptic number.

222091200 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 222091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416692080).

222091200 is an abundant number, since it is smaller than the sum of its proper divisors (611292960).

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

222091200 is a wasteful number, since it uses less digits than its factorization.

222091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 222091200 is about 14902.7245831090. The cubic root of 222091200 is about 605.5877992850.

It can be divided in two parts, 22209 and 1200, that added together give a square (23409 = 153²).

The spelling of 222091200 in words is "two hundred twenty-two million, ninety-one thousand, two hundred".