22312142304 has 96 divisors (see below), whose sum is σ = 59891166720. Its totient is φ = 7269937152.

The previous prime is 22312142287. The next prime is 22312142311. The reversal of 22312142304 is 40324121322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22312142304³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4188987 + ... + 4194309.

It is an arithmetic number, because the mean of its divisors is an integer number (623866320).

Almost surely, 2^22312142304 is an apocalyptic number.

22312142304 is a gapful number since it is divisible by the number (24) 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 22312142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29945583360).

22312142304 is an abundant number, since it is smaller than the sum of its proper divisors (37579024416).

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

22312142304 is a wasteful number, since it uses less digits than its factorization.

22312142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22312142304 its reverse (40324121322), we get a palindrome (62636263626).

The spelling of 22312142304 in words is "twenty-two billion, three hundred twelve million, one hundred forty-two thousand, three hundred four".