22313400431322 has 128 divisors (see below), whose sum is σ = 59920470005760. Its totient is φ = 5349690512640.

The previous prime is 22313400431279. The next prime is 22313400431411.

It is a happy number.

22313400431322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22313400431322³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22313400431322.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349691473 + ... + 349755275.

It is an arithmetic number, because the mean of its divisors is an integer number (468128671920).

Almost surely, 2^{22313400431322} is an apocalyptic number.

22313400431322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22313400431322 is an abundant number, since it is smaller than the sum of its proper divisors (37607069574438).

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

22313400431322 is a wasteful number, since it uses less digits than its factorization.

22313400431322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122068.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 22313400 and 431322, that added together give a palindrome (22744722).

The spelling of 22313400431322 in words is "twenty-two trillion, three hundred thirteen billion, four hundred million, four hundred thirty-one thousand, three hundred twenty-two".