222266400 has 144 divisors (see below), whose sum is σ = 743327424. Its totient is φ = 57646080.

The previous prime is 222266333. The next prime is 222266419. The reversal of 222266400 is 4662222.

222266400 is digitally balanced in base 3, 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 (24).

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, 87549 + ... + 90051.

It is an arithmetic number, because the mean of its divisors is an integer number (5161996).

Almost surely, 2^222266400 is an apocalyptic number.

222266400 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 222266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371663712).

222266400 is an abundant number, since it is smaller than the sum of its proper divisors (521061024).

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

222266400 is a wasteful number, since it uses less digits than its factorization.

222266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 222266400 is about 14908.6015440752. The cubic root of 222266400 is about 605.7469997927.

The spelling of 222266400 in words is "two hundred twenty-two million, two hundred sixty-six thousand, four hundred".