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2123312328 = 2332163239757
BaseRepresentation
bin111111010001111…
…0010110011001000
312110222101102221100
41332203302303020
513322031443303
6550405541400
7103421566644
oct17643626310
95428342840
102123312328
1199a610a85
124b3114860
1327ab90b37
14161dd7c24
15c661e8a3
hex7e8f2cc8

2123312328 has 96 divisors (see below), whose sum is σ = 5817801600. Its totient is φ = 699560064.

The previous prime is 2123312281. The next prime is 2123312329. The reversal of 2123312328 is 8232133212.

It is a happy number.

2123312328 is a `hidden beast` number, since 2 + 1 + 2 + 331 + 2 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2123312329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2804526 + ... + 2805282.

It is an arithmetic number, because the mean of its divisors is an integer number (60602100).

Almost surely, 22123312328 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 2123312328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908900800).

2123312328 is an abundant number, since it is smaller than the sum of its proper divisors (3694489272).

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

2123312328 is a wasteful number, since it uses less digits than its factorization.

2123312328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2123312328 is about 46079.4132775147. The cubic root of 2123312328 is about 1285.3003538189.

The spelling of 2123312328 in words is "two billion, one hundred twenty-three million, three hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 239 326 478 489 652 717 757 956 978 1304 1434 1467 1514 1912 1956 2151 2271 2868 2934 3028 3912 4302 4542 5736 5868 6056 6813 8604 9084 11736 13626 17208 18168 27252 38957 54504 77914 116871 123391 155828 180923 233742 246782 311656 350613 361846 370173 467484 493564 542769 701226 723692 740346 934968 987128 1085538 1110519 1402452 1447384 1480692 1628307 2171076 2221038 2804904 2961384 3256614 4342152 4442076 6513228 8884152 13026456 29490449 58980898 88471347 117961796 176942694 235923592 265414041 353885388 530828082 707770776 1061656164 2123312328