22222137700350 has 768 divisors, whose sum is σ = 72179323084800. Its totient is φ = 4922830080000.

The previous prime is 22222137700339. The next prime is 22222137700361. The reversal of 22222137700350 is 5300773122222.

22222137700350 is a `hidden beast` number, since 2 + 2 + 22 + 213 + 7 + 70 + 0 + 350 = 666.

It is an interprime number because it is at equal distance from previous prime (22222137700339) and next prime (22222137700361).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13914925752 + ... + 13914927348.

It is an arithmetic number, because the mean of its divisors is an integer number (93983493600).

Almost surely, 2^{22222137700350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222137700350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36089661542400).

22222137700350 is an abundant number, since it is smaller than the sum of its proper divisors (49957185384450).

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

22222137700350 is a wasteful number, since it uses less digits than its factorization.

22222137700350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 22222137700350 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred thirty-seven million, seven hundred thousand, three hundred fifty".