Search a number
-
+
23382322328332 = 221121713012184319
BaseRepresentation
bin1010101000100000111110…
…00001000011001100001100
310001210022212020122101102101
411110100133001003030030
511031043444004001312
6121421405100004444
74632213513321442
oct524203701031414
9101708766571371
1023382322328332
1174a5429418800
122757798530724
131007c35c39606
145ab9d3632b92
152a8364089a57
hex15441f04330c

23382322328332 has 72 divisors (see below), whose sum is σ = 47659494597120. Its totient is φ = 9995439168000.

The previous prime is 23382322328327. The next prime is 23382322328359.

23382322328332 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 9612469 + ... + 11796787.

It is an arithmetic number, because the mean of its divisors is an integer number (661937424960).

Almost surely, 223382322328332 is an apocalyptic number.

23382322328332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23382322328332 is an abundant number, since it is smaller than the sum of its proper divisors (24277172268788).

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

23382322328332 is a wasteful number, since it uses less digits than its factorization.

23382322328332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185663 (or 2185650 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 46.

The spelling of 23382322328332 in words is "twenty-three trillion, three hundred eighty-two billion, three hundred twenty-two million, three hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 1301 2057 2602 4114 5204 8228 14311 22117 28622 44234 57244 88468 157421 243287 314842 486574 629684 973148 2184319 2676157 4368638 5352314 8737276 10704628 24027509 37133423 48055018 74266846 96110036 148533692 264302599 408467653 528605198 816935306 1057210396 1633870612 2841799019 4493144183 5683598038 8986288366 11367196076 17972576732 31259789209 48310583323 62519578418 96621166646 125039156836 193242333292 343857681299 531416416553 687715362598 1062832833106 1375430725196 2125665666212 5845580582083 11691161164166 23382322328332