222738400270140 has 384 divisors, whose sum is σ = 679106683487232. Its totient is φ = 54328952832000.

The previous prime is 222738400270093. The next prime is 222738400270147. The reversal of 222738400270140 is 41072004837222.

It is a super-2 number, since 2×222738400270140² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222738400270092 and 222738400270101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222738400270147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11151965194 + ... + 11151985166.

It is an arithmetic number, because the mean of its divisors is an integer number (1768506988248).

Almost surely, 2^{222738400270140} is an apocalyptic number.

222738400270140 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 222738400270140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339553341743616).

222738400270140 is an abundant number, since it is smaller than the sum of its proper divisors (456368283217092).

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

222738400270140 is a wasteful number, since it uses less digits than its factorization.

222738400270140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21309 (or 21307 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 222738400270140 in words is "two hundred twenty-two trillion, seven hundred thirty-eight billion, four hundred million, two hundred seventy thousand, one hundred forty".