9270221400 has 432 divisors, whose sum is σ = 35349612480. Its totient is φ = 2173248000.

The previous prime is 9270221383. The next prime is 9270221413. The reversal of 9270221400 is 41220729.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6751114 + ... + 6752486.

Almost surely, 2^9270221400 is an apocalyptic number.

9270221400 is a gapful number since it is divisible by the number (90) 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 9270221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674806240).

9270221400 is an abundant number, since it is smaller than the sum of its proper divisors (26079391080).

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

9270221400 is a wasteful number, since it uses less digits than its factorization.

9270221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 9270221400 is about 96281.9889699003. The cubic root of 9270221400 is about 2100.6967755885.

The spelling of 9270221400 in words is "nine billion, two hundred seventy million, two hundred twenty-one thousand, four hundred".