Search a number
-
+
12224665872 = 2432201742089
BaseRepresentation
bin10110110001010010…
…11001100100010000
31011112221212100222200
423120221121210100
5200014003301442
65341013003200
7611636642166
oct133051314420
934487770880
1012224665872
115203561451
122452023500
1311ca876c03
1483d7c1236
154b834d34c
hex2d8a59910

12224665872 has 60 divisors (see below), whose sum is σ = 34229860860. Its totient is φ = 4072771584.

The previous prime is 12224665861. The next prime is 12224665897. The reversal of 12224665872 is 27856642221.

12224665872 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 66 + 587 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11529605376 + 695060496 = 107376^2 + 26364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269404 + ... + 311492.

It is an arithmetic number, because the mean of its divisors is an integer number (570497681).

Almost surely, 212224665872 is an apocalyptic number.

12224665872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12224665872 is an abundant number, since it is smaller than the sum of its proper divisors (22005194988).

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

12224665872 is a wasteful number, since it uses less digits than its factorization.

12224665872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44120 (or 44111 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 12224665872 in words is "twelve billion, two hundred twenty-four million, six hundred sixty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2017 4034 6051 8068 12102 16136 18153 24204 32272 36306 42089 48408 72612 84178 96816 126267 145224 168356 252534 290448 336712 378801 505068 673424 757602 1010136 1515204 2020272 3030408 6060816 84893513 169787026 254680539 339574052 509361078 679148104 764041617 1018722156 1358296208 1528083234 2037444312 3056166468 4074888624 6112332936 12224665872