22312620 has 144 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 5289600.

The previous prime is 22312613. The next prime is 22312621. The reversal of 22312620 is 2621322.

22312620 = T₂₃₂ + T₂₃₃ + ... + T₅₂₆.

It is a super-3 number, since 3×22312620³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 22312593 and 22312602.

It is not an unprimeable number, because it can be changed into a prime (22312621) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 116725 + ... + 116915.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^22312620 is an apocalyptic number.

22312620 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 22312620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

22312620 is an abundant number, since it is smaller than the sum of its proper divisors (53166420).

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

22312620 is a wasteful number, since it uses less digits than its factorization.

22312620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

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

The square root of 22312620 is about 4723.6236090527. The cubic root of 22312620 is about 281.5249282010.

Adding to 22312620 its reverse (2621322), we get a palindrome (24933942).

It can be divided in two parts, 2231 and 2620, that added together give a triangular number (4851 = T₉₈).

The spelling of 22312620 in words is "twenty-two million, three hundred twelve thousand, six hundred twenty".