Search a number
-
+
20232300312 = 2333722922273
BaseRepresentation
bin10010110101111100…
…000110011100011000
31221020000122100101000
4102311330012130120
5312413432102222
613143344225000
71314242500200
oct226574063430
957200570330
1020232300312
118642673754
123b0790b160
131ba5860c43
14d9d0b5400
157d63559ac
hex4b5f06718

20232300312 has 288 divisors, whose sum is σ = 67738366800. Its totient is φ = 5578868736.

The previous prime is 20232300311. The next prime is 20232300317. The reversal of 20232300312 is 21300323202.

It is a happy number.

20232300312 is a `hidden beast` number, since 20 + 2 + 32 + 300 + 312 = 666.

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 (20232300311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8900008 + ... + 8902280.

Almost surely, 220232300312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20232300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33869183400).

20232300312 is an abundant number, since it is smaller than the sum of its proper divisors (47506066488).

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

20232300312 is a wasteful number, since it uses less digits than its factorization.

20232300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2314 counting only the distinct ones).

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

Adding to 20232300312 its reverse (21300323202), we get a palindrome (41532623514).

The spelling of 20232300312 in words is "twenty billion, two hundred thirty-two million, three hundred thousand, three hundred twelve".