Search a number
-
+
23022220320 = 25325116132371
BaseRepresentation
bin10101011100001110…
…110011010000100000
32012102110100222010200
4111130032303100200
5334122142022240
614324250025200
71443340433601
oct253416632040
965373328120
1023022220320
119844496970
124566118200
13222b86c098
141185833da8
158eb24d930
hex55c3b3420

23022220320 has 288 divisors, whose sum is σ = 85881466944. Its totient is φ = 5569689600.

The previous prime is 23022220297. The next prime is 23022220321. The reversal of 23022220320 is 2302222032.

23022220320 is a `hidden beast` number, since 2 + 302 + 22 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 23022220293 and 23022220302.

It is not an unprimeable number, because it can be changed into a prime (23022220321) 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, 9708735 + ... + 9711105.

It is an arithmetic number, because the mean of its divisors is an integer number (298199538).

Almost surely, 223022220320 is an apocalyptic number.

23022220320 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 23022220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42940733472).

23022220320 is an abundant number, since it is smaller than the sum of its proper divisors (62859246624).

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

23022220320 is a wasteful number, since it uses less digits than its factorization.

23022220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 23022220320 its reverse (2302222032), we get a palindrome (25324442352).

It can be divided in two parts, 23022 and 220320, that added together give a palindrome (243342).

The spelling of 23022220320 in words is "twenty-three billion, twenty-two million, two hundred twenty thousand, three hundred twenty".