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23214241232 = 2471346734141
BaseRepresentation
bin10101100111101011…
…010011010111010000
32012220211200122022022
4111213223103113100
5340020321204412
614355305431012
71451161536410
oct254753232720
965824618268
1023214241232
11993291a036
1245ba49b468
13225c591620
1411a313a640
1590d02da72
hex567ad35d0

23214241232 has 80 divisors (see below), whose sum is σ = 55477199232. Its totient is φ = 9163722240.

The previous prime is 23214241189. The next prime is 23214241241.

23214241232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662882 + ... + 697022.

Almost surely, 223214241232 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 23214241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738599616).

23214241232 is an abundant number, since it is smaller than the sum of its proper divisors (32262958000).

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

23214241232 is a wasteful number, since it uses less digits than its factorization.

23214241232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34636 (or 34630 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The spelling of 23214241232 in words is "twenty-three billion, two hundred fourteen million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 467 728 934 1456 1868 3269 3736 6071 6538 7472 12142 13076 24284 26152 34141 42497 48568 52304 68282 84994 97136 136564 169988 238987 273128 339976 443833 477974 546256 679952 887666 955948 1775332 1911896 3106831 3550664 3823792 6213662 7101328 12427324 15943847 24854648 31887694 49709296 63775388 111606929 127550776 207270011 223213858 255101552 414540022 446427716 829080044 892855432 1450890077 1658160088 1785710864 2901780154 3316320176 5803560308 11607120616 23214241232