22770810000 has 225 divisors, whose sum is σ = 79791442159. Its totient is φ = 6060144000.

The previous prime is 22770809983. The next prime is 22770810031. The reversal of 22770810000 is 1807722.

The square root of 22770810000 is 150900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1785231504 + 20985578496 = 42252^2 + 144864^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×22770810000² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45269749 + ... + 45270251.

Almost surely, 2^22770810000 is an apocalyptic number.

22770810000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22770810000 is the 150900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22770810000

22770810000 is an abundant number, since it is smaller than the sum of its proper divisors (57020632159).

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

22770810000 is an frugal number, since it uses more digits than its factorization.

22770810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 22770810000 in words is "twenty-two billion, seven hundred seventy million, eight hundred ten thousand".