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2320983216 = 2432291095099
BaseRepresentation
bin1000101001010111…
…0110010010110000
312222202100011102100
42022111312102300
514223132430331
61022150420400
7111342013626
oct21225662260
95882304370
102320983216
11a91153052
12549361700
132acb10c66
14180371516
15d8b68ae6
hex8a5764b0

2320983216 has 120 divisors (see below), whose sum is σ = 6782490000. Its totient is φ = 739984896.

The previous prime is 2320983193. The next prime is 2320983233. The reversal of 2320983216 is 6123890232.

2320983216 is a `hidden beast` number, since 2 + 320 + 9 + 8 + 321 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452635 + ... + 457733.

It is an arithmetic number, because the mean of its divisors is an integer number (56520750).

Almost surely, 22320983216 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 2320983216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391245000).

2320983216 is an abundant number, since it is smaller than the sum of its proper divisors (4461506784).

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

2320983216 is a wasteful number, since it uses less digits than its factorization.

2320983216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2320983216 is about 48176.5836895893. The cubic root of 2320983216 is about 1324.0081749996.

The spelling of 2320983216 in words is "two billion, three hundred twenty million, nine hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 109 116 144 174 218 232 261 327 348 436 464 522 654 696 872 981 1044 1308 1392 1744 1962 2088 2616 3161 3924 4176 5099 5232 6322 7848 9483 10198 12644 15297 15696 18966 20396 25288 28449 30594 37932 40792 45891 50576 56898 61188 75864 81584 91782 113796 122376 147871 151728 183564 227592 244752 295742 367128 443613 455184 555791 591484 734256 887226 1111582 1182968 1330839 1667373 1774452 2223164 2365936 2661678 3334746 3548904 4446328 5002119 5323356 6669492 7097808 8892656 10004238 10646712 13338984 16117939 20008476 21293424 26677968 32235878 40016952 48353817 64471756 80033904 96707634 128943512 145061451 193415268 257887024 290122902 386830536 580245804 773661072 1160491608 2320983216