322221420 has 72 divisors (see below), whose sum is σ = 994003920. Its totient is φ = 84466560.

The previous prime is 322221391. The next prime is 322221433. The reversal of 322221420 is 24122223.

322221420 is a `hidden beast` number, since 3 + 22 + 221 + 420 = 666.

322221420 is digitally balanced in base 3, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 322221393 and 322221402.

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, 4551 + ... + 25790.

It is an arithmetic number, because the mean of its divisors is an integer number (13805610).

Almost surely, 2^322221420 is an apocalyptic number.

322221420 is a gapful number since it is divisible by the number (30) 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 322221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497001960).

322221420 is an abundant number, since it is smaller than the sum of its proper divisors (671782500).

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

322221420 is a wasteful number, since it uses less digits than its factorization.

322221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30415 (or 30410 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 322221420 is about 17950.5270117621. The cubic root of 322221420 is about 685.5694697905.

Adding to 322221420 its reverse (24122223), we get a palindrome (346343643).

It can be divided in two parts, 3222 and 21420, that added together give a palindrome (24642).

The spelling of 322221420 in words is "three hundred twenty-two million, two hundred twenty-one thousand, four hundred twenty".