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23132320200 = 23345211211801
BaseRepresentation
bin10101100010110010…
…110011000111001000
32012201010112121210000
4111202302303013020
5334333333221300
614343221523000
71446145322523
oct254262630710
965633477700
1023132320200
1198a0656600
124596b73460
13224860aa42
1411962d3bba
15905c4ac00
hex562cb31c8

23132320200 has 360 divisors, whose sum is σ = 88317257490. Its totient is φ = 5607360000.

The previous prime is 23132320153. The next prime is 23132320201. The reversal of 23132320200 is 202323132.

It is a happy number.

23132320200 is a `hidden beast` number, since 231 + 3 + 232 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17441428356 + 5690891844 = 132066^2 + 75438^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (23132320201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1954300 + ... + 1966100.

Almost surely, 223132320200 is an apocalyptic number.

23132320200 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 23132320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44158628745).

23132320200 is an abundant number, since it is smaller than the sum of its proper divisors (65184937290).

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

23132320200 is a wasteful number, since it uses less digits than its factorization.

23132320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11851 (or 11822 counting only the distinct ones).

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

Adding to 23132320200 its reverse (202323132), we get a palindrome (23334643332).

The spelling of 23132320200 in words is "twenty-three billion, one hundred thirty-two million, three hundred twenty thousand, two hundred".