22906142720 has 168 divisors, whose sum is σ = 58435015464. Its totient is φ = 8589934592.

The previous prime is 22906142717. The next prime is 22906142747. The reversal of 22906142720 is 2724160922.

It can be written as a sum of positive squares in 4 ways, for example, as 11781799936 + 11124342784 = 108544^2 + 105472^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 22906142720 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89128832 + ... + 89129088.

It is an arithmetic number, because the mean of its divisors is an integer number (347827473).

Almost surely, 2^22906142720 is an apocalyptic number.

22906142720 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 22906142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29217507732).

22906142720 is an abundant number, since it is smaller than the sum of its proper divisors (35528872744).

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

22906142720 is an frugal number, since it uses more digits than its factorization.

22906142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 22906142720 in words is "twenty-two billion, nine hundred six million, one hundred forty-two thousand, seven hundred twenty".