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11032230240 = 2533517150221
BaseRepresentation
bin10100100011001001…
…00111100101100000
31001110212002100211000
422101210213211200
5140043222331430
65022414552000
7540250260363
oct122144474540
931425070730
1011032230240
114751451959
12217a808600
13106a8007b5
147692a00da
15448808e60
hex291927960

11032230240 has 192 divisors, whose sum is σ = 40884419520. Its totient is φ = 2768855040.

The previous prime is 11032230233. The next prime is 11032230263. The reversal of 11032230240 is 4203223011.

11032230240 is a `hidden beast` number, since 1 + 1 + 0 + 322 + 302 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1671 + ... + 148550.

It is an arithmetic number, because the mean of its divisors is an integer number (212939685).

Almost surely, 211032230240 is an apocalyptic number.

11032230240 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 11032230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442209760).

11032230240 is an abundant number, since it is smaller than the sum of its proper divisors (29852189280).

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

11032230240 is a wasteful number, since it uses less digits than its factorization.

11032230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150262 (or 150248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11032230240 its reverse (4203223011), we get a palindrome (15235453251).

The spelling of 11032230240 in words is "eleven billion, thirty-two million, two hundred thirty thousand, two hundred forty".