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9312215040 = 21332525261
BaseRepresentation
bin10001010110000110…
…10010000000000000
3220000222120112112100
420223003102000000
5123032411340130
64140013030400
7446523343662
oct105303220000
926028515470
109312215040
113a49558a97
12197a785400
13b55366c1b
14644a88532
153977eec60
hex22b0d2000

9312215040 has 168 divisors, whose sum is σ = 32281652988. Its totient is φ = 2483159040.

The previous prime is 9312215021. The next prime is 9312215051. The reversal of 9312215040 is 405122139.

It can be written as a sum of positive squares in 2 ways, for example, as 8599965696 + 712249344 = 92736^2 + 26688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9312214995 and 9312215013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356010 + ... + 381270.

Almost surely, 29312215040 is an apocalyptic number.

9312215040 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 9312215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140826494).

9312215040 is an abundant number, since it is smaller than the sum of its proper divisors (22969437948).

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

9312215040 is a wasteful number, since it uses less digits than its factorization.

9312215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25298 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9312215040 is about 96499.8188599336. The cubic root of 9312215040 is about 2103.8640150755.

Adding to 9312215040 its reverse (405122139), we get a palindrome (9717337179).

The spelling of 9312215040 in words is "nine billion, three hundred twelve million, two hundred fifteen thousand, forty".