22620006900 has 108 divisors (see below), whose sum is σ = 71003159500. Its totient is φ = 6023324160.

The previous prime is 22620006839. The next prime is 22620006907. The reversal of 22620006900 is 960002622.

It can be written as a sum of positive squares in 6 ways, for example, as 3817015524 + 18802991376 = 61782^2 + 137124^2 .

It is a super-2 number, since 2×22620006900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22620006907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620376 + ... + 655824.

Almost surely, 2^22620006900 is an apocalyptic number.

22620006900 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 22620006900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35501579750).

22620006900 is an abundant number, since it is smaller than the sum of its proper divisors (48383152600).

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

22620006900 is a wasteful number, since it uses less digits than its factorization.

22620006900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36178 (or 36168 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 22620006900 in words is "twenty-two billion, six hundred twenty million, six thousand, nine hundred".