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11232330240 = 29356783263
BaseRepresentation
bin10100111010111111…
…11100001000000000
31001222210121111102010
422131133330020000
5141000434031430
65054323452520
7545230142325
oct123537741000
931883544363
1011232330240
1148443a2a5a
122215827140
1310a00c1471
14787aaab4c
1545b182cb0
hex29d7fc200

11232330240 has 320 divisors, whose sum is σ = 37023630336. Its totient is φ = 2903949312.

The previous prime is 11232330191. The next prime is 11232330251. The reversal of 11232330240 is 4203323211.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42708349 + ... + 42708611.

Almost surely, 211232330240 is an apocalyptic number.

11232330240 is a gapful number since it is divisible by the number (10) 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 11232330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511815168).

11232330240 is an abundant number, since it is smaller than the sum of its proper divisors (25791300096).

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

11232330240 is an equidigital number, since it uses as much as digits as its factorization.

11232330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 11232330240 its reverse (4203323211), we get a palindrome (15435653451).

The spelling of 11232330240 in words is "eleven billion, two hundred thirty-two million, three hundred thirty thousand, two hundred forty".