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2303331320 = 23523103109223
BaseRepresentation
bin1000100101001010…
…0000101111111000
312221112010100120102
42021102200233320
514204123100240
61020320214532
7111035664443
oct21122405770
95845110512
102303331320
11a82196a04
1254346a448
132a9270554
1417bc9865a
15d732d815
hex894a0bf8

2303331320 has 128 divisors (see below), whose sum is σ = 5535129600. Its totient is φ = 860834304.

The previous prime is 2303331313. The next prime is 2303331337. The reversal of 2303331320 is 231333032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2303331292 and 2303331301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10328729 + ... + 10328951.

It is an arithmetic number, because the mean of its divisors is an integer number (43243200).

Almost surely, 22303331320 is an apocalyptic number.

2303331320 is a gapful number since it is divisible by the number (20) 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 2303331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767564800).

2303331320 is an abundant number, since it is smaller than the sum of its proper divisors (3231798280).

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

2303331320 is a wasteful number, since it uses less digits than its factorization.

2303331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 2303331320 is about 47993.0340778743. The cubic root of 2303331320 is about 1320.6431133109.

Adding to 2303331320 its reverse (231333032), we get a palindrome (2534664352).

The spelling of 2303331320 in words is "two billion, three hundred three million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 103 109 115 184 206 218 223 230 412 436 446 460 515 545 824 872 892 920 1030 1090 1115 1784 2060 2180 2230 2369 2507 4120 4360 4460 4738 5014 5129 8920 9476 10028 10258 11227 11845 12535 18952 20056 20516 22454 22969 23690 24307 25070 25645 41032 44908 45938 47380 48614 50140 51290 56135 89816 91876 94760 97228 100280 102580 112270 114845 121535 183752 194456 205160 224540 229690 243070 258221 449080 459380 486140 516442 528287 559061 918760 972280 1032884 1056574 1118122 1291105 2065768 2113148 2236244 2503621 2582210 2641435 2795305 4226296 4472488 5007242 5164420 5282870 5590610 10014484 10328840 10565740 11181220 12518105 20028968 21131480 22362440 25036210 50072420 57583283 100144840 115166566 230333132 287916415 460666264 575832830 1151665660 2303331320