Search a number
-
+
23033322312 = 23371113273751
BaseRepresentation
bin10101011100111001…
…001001101101001000
32012110020021000012120
4111130321021231020
5334133012303222
614325324011240
71443534003120
oct253471115510
965406230176
1023033322312
11984a789a70
124569990b20
132230c58400
1411870c3c80
158ec1e315c
hex55ce49b48

23033322312 has 192 divisors, whose sum is σ = 77740508160. Its totient is φ = 5522400000.

The previous prime is 23033322293. The next prime is 23033322317. The reversal of 23033322312 is 21322333032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23033322317) 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 47 ways as a sum of consecutive naturals, for example, 275437 + ... + 349187.

It is an arithmetic number, because the mean of its divisors is an integer number (404898480).

Almost surely, 223033322312 is an apocalyptic number.

23033322312 is a gapful number since it is divisible by the number (22) 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 23033322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38870254080).

23033322312 is an abundant number, since it is smaller than the sum of its proper divisors (54707185848).

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

23033322312 is a wasteful number, since it uses less digits than its factorization.

23033322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73804 (or 73787 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23033322312 its reverse (21322333032), we get a palindrome (44355655344).

The spelling of 23033322312 in words is "twenty-three billion, thirty-three million, three hundred twenty-two thousand, three hundred twelve".