Search a number
-
+
23132232000 = 2632531013181
BaseRepresentation
bin10101100010110010…
…011101100101000000
32012201010101010210100
4111202302131211000
5334333322411000
614343220002400
71446144504423
oct254262354500
965633333710
1023132232000
1198a05a6309
124596b30400
1322485a9857
1411962ad9ba
15905c2ea00
hex562c9d940

23132232000 has 336 divisors, whose sum is σ = 83593405584. Its totient is φ = 6105600000.

The previous prime is 23132231999. The next prime is 23132232001. The reversal of 23132232000 is 23223132.

It is a happy number.

23132232000 is a `hidden beast` number, since 23 + 1 + 322 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23132231999) and next prime (23132232001).

It can be written as a sum of positive squares in 8 ways, for example, as 6670315584 + 16461916416 = 81672^2 + 128304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132232001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7270410 + ... + 7273590.

Almost surely, 223132232000 is an apocalyptic number.

23132232000 is a gapful number since it is divisible by the number (20) 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 23132232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41796702792).

23132232000 is an abundant number, since it is smaller than the sum of its proper divisors (60461173584).

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

23132232000 is a wasteful number, since it uses less digits than its factorization.

23132232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23132232000 its reverse (23223132), we get a palindrome (23155455132).

The spelling of 23132232000 in words is "twenty-three billion, one hundred thirty-two million, two hundred thirty-two thousand".