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2311253252 = 22711192913619
BaseRepresentation
bin1000100111000010…
…1110110100000100
312222002000211102022
42021300232310010
514213140101002
61021202102312
7111163220450
oct21160566404
95862024368
102311253252
11a86707860
1254604a998
132aaab5299
1417cd5b660
15d7d95ba2
hex89c2ed04

2311253252 has 96 divisors (see below), whose sum is σ = 5491584000. Its totient is φ = 823616640.

The previous prime is 2311253251. The next prime is 2311253291. The reversal of 2311253252 is 2523521132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2311253251) 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 31 ways as a sum of consecutive naturals, for example, 162899 + ... + 176517.

It is an arithmetic number, because the mean of its divisors is an integer number (57204000).

Almost surely, 22311253252 is an apocalyptic number.

2311253252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311253252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745792000).

2311253252 is an abundant number, since it is smaller than the sum of its proper divisors (3180330748).

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

2311253252 is a wasteful number, since it uses less digits than its factorization.

2311253252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13689 (or 13687 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 2311253252 is about 48075.4953380618. The cubic root of 2311253252 is about 1322.1554263029.

Adding to 2311253252 its reverse (2523521132), we get a palindrome (4834774384).

The spelling of 2311253252 in words is "two billion, three hundred eleven million, two hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 19 22 28 29 38 44 58 76 77 116 133 154 203 209 266 308 319 406 418 532 551 638 812 836 1102 1276 1463 2204 2233 2926 3857 4466 5852 6061 7714 8932 12122 13619 15428 24244 27238 42427 54476 84854 95333 149809 169708 190666 258761 299618 381332 394951 517522 599236 789902 1035044 1048663 1579804 1811327 2097326 2764657 2846371 3622654 4194652 4344461 5529314 5692742 7245308 7504069 8688922 11058628 11385484 15008138 17377844 19924597 30016276 30411227 39849194 52528483 60822454 79698388 82544759 105056966 121644908 165089518 210113932 330179036 577813313 1155626626 2311253252