222434820 has 72 divisors (see below), whose sum is σ = 676732056. Its totient is φ = 59139072.

The previous prime is 222434819. The next prime is 222434899. The reversal of 222434820 is 28434222.

222434820 is a `hidden beast` number, since 222 + 434 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70257924 + 152176896 = 8382^2 + 12336^2 .

It is a congruent number.

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, 65484 + ... + 68796.

Almost surely, 2^222434820 is an apocalyptic number.

222434820 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 222434820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338366028).

222434820 is an abundant number, since it is smaller than the sum of its proper divisors (454297236).

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

222434820 is a wasteful number, since it uses less digits than its factorization.

222434820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 222434820 is about 14914.2488915802. The cubic root of 222434820 is about 605.8999606127.

The spelling of 222434820 in words is "two hundred twenty-two million, four hundred thirty-four thousand, eight hundred twenty".