22314242000 has 80 divisors (see below), whose sum is σ = 53997093072. Its totient is φ = 8918873600.

The previous prime is 22314241997. The next prime is 22314242021. The reversal of 22314242000 is 24241322.

It can be written as a sum of positive squares in 8 ways, for example, as 4535753104 + 17778488896 = 67348^2 + 133336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22314242000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3222542 + ... + 3229458.

Almost surely, 2^22314242000 is an apocalyptic number.

22314242000 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 22314242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998546536).

22314242000 is an abundant number, since it is smaller than the sum of its proper divisors (31682851072).

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

22314242000 is a wasteful number, since it uses less digits than its factorization.

22314242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8553 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22314242000 its reverse (24241322), we get a palindrome (22338483322).

The spelling of 22314242000 in words is "twenty-two billion, three hundred fourteen million, two hundred forty-two thousand".