222816420 has 216 divisors, whose sum is σ = 745565184. Its totient is φ = 55847232.

The previous prime is 222816413. The next prime is 222816457. The reversal of 222816420 is 24618222.

It is a happy number.

222816420 is a `hidden beast` number, since 2 + 228 + 16 + 420 = 666.

222816420 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1754397 + ... + 1754523.

Almost surely, 2^222816420 is an apocalyptic number.

222816420 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 222816420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372782592).

222816420 is an abundant number, since it is smaller than the sum of its proper divisors (522748764).

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

222816420 is a wasteful number, since it uses less digits than its factorization.

222816420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 222816420 is about 14927.0365444719. The cubic root of 222816420 is about 606.2462483206.

The spelling of 222816420 in words is "two hundred twenty-two million, eight hundred sixteen thousand, four hundred twenty".