22210232002140 has 768 divisors, whose sum is σ = 87048912384000. Its totient is φ = 4178315280384.

The previous prime is 22210232002097. The next prime is 22210232002177. The reversal of 22210232002140 is 4120023201222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 86286912 + ... + 86543928.

It is an arithmetic number, because the mean of its divisors is an integer number (113344938000).

Almost surely, 2^{22210232002140} is an apocalyptic number.

22210232002140 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 22210232002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524456192000).

22210232002140 is an abundant number, since it is smaller than the sum of its proper divisors (64838680381860).

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

22210232002140 is a wasteful number, since it uses less digits than its factorization.

22210232002140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257099 (or 257083 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22210232002140 its reverse (4120023201222), we get a palindrome (26330255203362).

The spelling of 22210232002140 in words is "twenty-two trillion, two hundred ten billion, two hundred thirty-two million, two thousand, one hundred forty".