22322322 has 72 divisors (see below), whose sum is σ = 54795468. Its totient is φ = 6557760.

The previous prime is 22322303. The next prime is 22322341.

22322322 is a `hidden beast` number, since 22 + 322 + 322 = 666.

22322322 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22322303) and next prime (22322341).

It can be written as a sum of positive squares in 2 ways, for example, as 22268961 + 53361 = 4719^2 + 231^2 .

It is a super-3 number, since 3×22322322³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 22322295 and 22322304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80448 + ... + 80724.

Almost surely, 2^22322322 is an apocalyptic number.

22322322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22322322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27397734).

22322322 is an abundant number, since it is smaller than the sum of its proper divisors (32473146).

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

22322322 is a wasteful number, since it uses less digits than its factorization.

22322322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 22322322 is about 4724.6504632618. The cubic root of 22322322 is about 281.5657266230.

It can be divided in two parts, 2232 and 2322, that added together give a palindrome (4554).

The spelling of 22322322 in words is "twenty-two million, three hundred twenty-two thousand, three hundred twenty-two".