Search a number
-
+
23313212320 = 255145707577
BaseRepresentation
bin10101101101100100…
…110110001110100000
32020011201220220010011
4111231210312032200
5340221140243240
614413203014304
71453503015016
oct255544661640
966151826104
1023313212320
119983778522
12462766a394
132276c349b8
1411b23408b6
15916a7d6ea
hex56d9363a0

23313212320 has 24 divisors (see below), whose sum is σ = 55077464484. Its totient is φ = 9325284864.

The previous prime is 23313212311. The next prime is 23313212371. The reversal of 23313212320 is 2321231332.

It can be written as a sum of positive squares in 2 ways, for example, as 20824798864 + 2488413456 = 144308^2 + 49884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23313212291 and 23313212300.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 72853629 + ... + 72853948.

Almost surely, 223313212320 is an apocalyptic number.

23313212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23313212320 is an abundant number, since it is smaller than the sum of its proper divisors (31764252164).

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

23313212320 is a wasteful number, since it uses less digits than its factorization.

23313212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145707592 (or 145707584 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23313212320 its reverse (2321231332), we get a palindrome (25634443652).

The spelling of 23313212320 in words is "twenty-three billion, three hundred thirteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 145707577 291415154 582830308 728537885 1165660616 1457075770 2331321232 2914151540 4662642464 5828303080 11656606160 23313212320