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9228997440 = 263451361449
BaseRepresentation
bin10001001100001011…
…10101001101000000
3212211011222122110000
420212011311031000
5122400110404230
64123441240000
7444463120035
oct104605651500
925734878400
109228997440
113a0658a413
121956933000
13b4104b140
146379c538c
15390362b60
hex226175340

9228997440 has 560 divisors, whose sum is σ = 36014101200. Its totient is φ = 2229534720.

The previous prime is 9228997399. The next prime is 9228997511. The reversal of 9228997440 is 447998229.

9228997440 is a `hidden beast` number, since 92 + 28 + 9 + 97 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2217279744 + 7011717696 = 47088^2 + 83736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 20554336 + ... + 20554784.

It is an arithmetic number, because the mean of its divisors is an integer number (64310895).

Almost surely, 29228997440 is an apocalyptic number.

9228997440 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 9228997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007050600).

9228997440 is an abundant number, since it is smaller than the sum of its proper divisors (26785103760).

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

9228997440 is a wasteful number, since it uses less digits than its factorization.

9228997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9228997440 is about 96067.6711490395. The cubic root of 9228997440 is about 2097.5782695464.

The spelling of 9228997440 in words is "nine billion, two hundred twenty-eight million, nine hundred ninety-seven thousand, four hundred forty".