22813209000 has 192 divisors, whose sum is σ = 77452362000. Its totient is φ = 6056409600.

The previous prime is 22813208987. The next prime is 22813209017. The reversal of 22813209000 is 90231822.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 922822884 + 21890386116 = 30378^2 + 147954^2 .

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 47 ways as a sum of consecutive naturals, for example, 2055466 + ... + 2066534.

Almost surely, 2^22813209000 is an apocalyptic number.

22813209000 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 22813209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38726181000).

22813209000 is an abundant number, since it is smaller than the sum of its proper divisors (54639153000).

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

22813209000 is a wasteful number, since it uses less digits than its factorization.

22813209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325 (or 11308 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 22813209000 in words is "twenty-two billion, eight hundred thirteen million, two hundred nine thousand".