22261426634100 has 144 divisors (see below), whose sum is σ = 66161519502848. Its totient is φ = 5774978280960.

The previous prime is 22261426634081. The next prime is 22261426634107. The reversal of 22261426634100 is 143662416222.

It is a happy number.

It is a super-2 number, since 2×22261426634100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22261426634107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67912797 + ... + 68239803.

Almost surely, 2^{22261426634100} is an apocalyptic number.

22261426634100 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 22261426634100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33080759751424).

22261426634100 is an abundant number, since it is smaller than the sum of its proper divisors (43900092868748).

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

22261426634100 is a wasteful number, since it uses less digits than its factorization.

22261426634100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333194 (or 333187 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 22261426634100 in words is "twenty-two trillion, two hundred sixty-one billion, four hundred twenty-six million, six hundred thirty-four thousand, one hundred".