9221760900 has 405 divisors, whose sum is σ = 33200164767. Its totient is φ = 2212531200.

The previous prime is 9221760887. The next prime is 9221760901. The reversal of 9221760900 is 90671229.

The square root of 9221760900 is 96030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 339075396 + 8882685504 = 18414^2 + 94248^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9221760901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 95069652 + ... + 95069748.

Almost surely, 2^9221760900 is an apocalyptic number.

9221760900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9221760900 is the 96030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9221760900

9221760900 is an abundant number, since it is smaller than the sum of its proper divisors (23978403867).

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

9221760900 is a wasteful number, since it uses less digits than its factorization.

9221760900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 9221760900 is about 2097.0298828532.

Multiplying 9221760900 by its sum of digits (36), we get a square (331983392400 = 576180²).

9221760900 divided by its sum of digits (36) gives a square (256160025 = 16005²).

The spelling of 9221760900 in words is "nine billion, two hundred twenty-one million, seven hundred sixty thousand, nine hundred".