222020480 has 192 divisors, whose sum is σ = 605586240. Its totient is φ = 77721600.

The previous prime is 222020473. The next prime is 222020509. The reversal of 222020480 is 84020222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3639650 + ... + 3639710.

It is an arithmetic number, because the mean of its divisors is an integer number (3154095).

Almost surely, 2^222020480 is an apocalyptic number.

222020480 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 222020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

222020480 is an abundant number, since it is smaller than the sum of its proper divisors (383565760).

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

222020480 is a wasteful number, since it uses less digits than its factorization.

222020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 222020480 is about 14900.3516737022. The cubic root of 222020480 is about 605.5235138087.

The spelling of 222020480 in words is "two hundred twenty-two million, twenty thousand, four hundred eighty".