222772500 has 90 divisors (see below), whose sum is σ = 703745042. Its totient is φ = 59400000.

The previous prime is 222772493. The next prime is 222772531. The reversal of 222772500 is 5277222.

It is a happy number.

222772500 is digitally balanced in base 2, 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 5 ways, for example, as 31337604 + 191434896 = 5598^2 + 13836^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17550 + ... + 27450.

Almost surely, 2^222772500 is an apocalyptic number.

222772500 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 222772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351872521).

222772500 is an abundant number, since it is smaller than the sum of its proper divisors (480972542).

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

222772500 is a wasteful number, since it uses less digits than its factorization.

222772500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 222772500 is about 14925.5653159269. The cubic root of 222772500 is about 606.2064127093.

The spelling of 222772500 in words is "two hundred twenty-two million, seven hundred seventy-two thousand, five hundred".