221822474328 has 576 divisors, whose sum is σ = 786067027200. Its totient is φ = 55947386880.

The previous prime is 221822474317. The next prime is 221822474329. The reversal of 221822474328 is 823474228122.

It is a happy number.

221822474328 is a `hidden beast` number, since 2 + 2 + 1 + 82 + 247 + 4 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221822474329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126537900 + ... + 126539652.

It is an arithmetic number, because the mean of its divisors is an integer number (1364699700).

Almost surely, 2^221822474328 is an apocalyptic number.

221822474328 is a gapful number since it is divisible by the number (28) 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 221822474328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393033513600).

221822474328 is an abundant number, since it is smaller than the sum of its proper divisors (564244552872).

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

221822474328 is a wasteful number, since it uses less digits than its factorization.

221822474328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1898 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 221822474328 in words is "two hundred twenty-one billion, eight hundred twenty-two million, four hundred seventy-four thousand, three hundred twenty-eight".