222253200 has 240 divisors, whose sum is σ = 852445440. Its totient is φ = 54673920.

The previous prime is 222253183. The next prime is 222253253. The reversal of 222253200 is 2352222.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139609 + ... + 141191.

It is an arithmetic number, because the mean of its divisors is an integer number (3551856).

Almost surely, 2^222253200 is an apocalyptic number.

222253200 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 222253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426222720).

222253200 is an abundant number, since it is smaller than the sum of its proper divisors (630192240).

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

222253200 is a wasteful number, since it uses less digits than its factorization.

222253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 222253200 is about 14908.1588400446. The cubic root of 222253200 is about 605.7350081486.

It can be divided in two parts, 22225 and 3200, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 222253200 in words is "two hundred twenty-two million, two hundred fifty-three thousand, two hundred".