Search a number
-
+
13224231000 = 2332531469359
BaseRepresentation
bin11000101000011100…
…11100000001011000
31021010121201112120100
430110032130001120
5204040400343000
610024121055400
7645465052221
oct142416340130
937117645510
1013224231000
115676808532
122690927560
131329991176
148d6458248
15525e95a00
hex31439c058

13224231000 has 96 divisors (see below), whose sum is σ = 44697931200. Its totient is φ = 3526459200.

The previous prime is 13224230969. The next prime is 13224231001. The reversal of 13224231000 is 13242231.

It is a super-2 number, since 2×132242310002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224231001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725680 + ... + 743679.

It is an arithmetic number, because the mean of its divisors is an integer number (465603450).

Almost surely, 213224231000 is an apocalyptic number.

13224231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13224231000 is an abundant number, since it is smaller than the sum of its proper divisors (31473700200).

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

13224231000 is a wasteful number, since it uses less digits than its factorization.

13224231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469386 (or 1469369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13224231000 its reverse (13242231), we get a palindrome (13237473231).

The spelling of 13224231000 in words is "thirteen billion, two hundred twenty-four million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1469359 2938718 4408077 5877436 7346795 8816154 11754872 13224231 14693590 17632308 22040385 26448462 29387180 35264616 36733975 44080770 52896924 58774360 66121155 73467950 88161540 105793848 110201925 132242310 146935900 176323080 183669875 220403850 264484620 293871800 330605775 367339750 440807700 528969240 551009625 661211550 734679500 881615400 1102019250 1322423100 1469359000 1653028875 2204038500 2644846200 3306057750 4408077000 6612115500 13224231000