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2244404232 = 2332726110429
BaseRepresentation
bin1000010111000110…
…1110010000001000
312210102020112210200
42011301232100020
514044031413412
61010413212200
7106422056400
oct20561562010
95712215720
102244404232
11a519a9134
12527791060
13299caaa55
14174119800
15d208d9dc
hex85c6e408

2244404232 has 144 divisors (see below), whose sum is σ = 7187625900. Its totient is φ = 630685440.

The previous prime is 2244404189. The next prime is 2244404237. The reversal of 2244404232 is 2324044422.

2244404232 is a `hidden beast` number, since 2 + 24 + 4 + 404 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2240507556 + 3896676 = 47334^2 + 1974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2244404196 and 2244404205.

It is not an unprimeable number, because it can be changed into a prime (2244404237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209994 + ... + 220422.

Almost surely, 22244404232 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 2244404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593812950).

2244404232 is an abundant number, since it is smaller than the sum of its proper divisors (4943221668).

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

2244404232 is a wasteful number, since it uses less digits than its factorization.

2244404232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2244404232 is about 47375.1436092810. The cubic root of 2244404232 is about 1309.2834945096.

Adding to 2244404232 its reverse (2324044422), we get a palindrome (4568448654).

The spelling of 2244404232 in words is "two billion, two hundred forty-four million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 61 63 72 84 98 122 126 147 168 183 196 244 252 294 366 392 427 441 488 504 549 588 732 854 882 1098 1176 1281 1464 1708 1764 2196 2562 2989 3416 3528 3843 4392 5124 5978 7686 8967 10248 10429 11956 15372 17934 20858 23912 26901 30744 31287 35868 41716 53802 62574 71736 73003 83432 93861 107604 125148 146006 187722 215208 219009 250296 292012 375444 438018 511021 584024 636169 657027 750888 876036 1022042 1272338 1314054 1533063 1752072 1908507 2044084 2544676 2628108 3066126 3817014 4088168 4453183 4599189 5089352 5256216 5725521 6132252 7634028 8906366 9198378 11451042 12264504 13359549 15268056 17812732 18396756 22902084 26719098 31172281 35625464 36793512 40078647 45804168 53438196 62344562 80157294 93516843 106876392 124689124 160314588 187033686 249378248 280550529 320629176 374067372 561101058 748134744 1122202116 2244404232