9225414000 has 800 divisors, whose sum is σ = 37749583872. Its totient is φ = 2151360000.

The previous prime is 9225413983. The next prime is 9225414001. The reversal of 9225414000 is 4145229.

9225414000 is a `hidden beast` number, since 9 + 2 + 254 + 1 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9225414001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55241917 + ... + 55242083.

Almost surely, 2^9225414000 is an apocalyptic number.

9225414000 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 9225414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874791936).

9225414000 is an abundant number, since it is smaller than the sum of its proper divisors (28524169872).

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

9225414000 is a wasteful number, since it uses less digits than its factorization.

9225414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 9225414000 is about 96049.0187352271. The cubic root of 9225414000 is about 2097.3067514689.

Adding to 9225414000 its reverse (4145229), we get a palindrome (9229559229).

The spelling of 9225414000 in words is "nine billion, two hundred twenty-five million, four hundred fourteen thousand".