21772233000 has 1280 divisors, whose sum is σ = 95678668800. Its totient is φ = 4506969600.

The previous prime is 21772232987. The next prime is 21772233023. The reversal of 21772233000 is 33227712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 463238977 + ... + 463239023.

It is an arithmetic number, because the mean of its divisors is an integer number (74748960).

Almost surely, 2^21772233000 is an apocalyptic number.

21772233000 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 21772233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47839334400).

21772233000 is an abundant number, since it is smaller than the sum of its proper divisors (73906435800).

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

21772233000 is a wasteful number, since it uses less digits than its factorization.

21772233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 21772233000 in words is "twenty-one billion, seven hundred seventy-two million, two hundred thirty-three thousand".