22612320 has 144 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 5867520.

The previous prime is 22612309. The next prime is 22612321. The reversal of 22612320 is 2321622.

22612320 is a `hidden beast` number, since 22 + 612 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×22612320² = 1022634031564800, which contains 22 as substring.

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 = 22612293 and 22612302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22612321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58849 + ... + 59231.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 2^22612320 is an apocalyptic number.

22612320 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 22612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

22612320 is an abundant number, since it is smaller than the sum of its proper divisors (56640672).

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

22612320 is a wasteful number, since it uses less digits than its factorization.

22612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22612320 is about 4755.2413187976. The cubic root of 22612320 is about 282.7797943214.

Adding to 22612320 its reverse (2321622), we get a palindrome (24933942).

The spelling of 22612320 in words is "twenty-two million, six hundred twelve thousand, three hundred twenty".