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2332233213312 = 27343114091703
BaseRepresentation
bin100001111100000011111…
…011101010010110000000
322020221220100020202211110
4201330003323222112000
5301202403200311222
64543225123443320
7330332625136302
oct41740373522600
98227810222743
102332233213312
1181a104936352
12318004226540
1313bc0c318162
1480c48881972
1540a0039330c
hex21f03eea580

2332233213312 has 64 divisors (see below), whose sum is σ = 6209368450560. Its totient is φ = 775607278080.

The previous prime is 2332233213283. The next prime is 2332233213337. The reversal of 2332233213312 is 2133123322332.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×23322332133124 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2332233213312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6880348 + ... + 7211355.

It is an arithmetic number, because the mean of its divisors is an integer number (97021382040).

Almost surely, 22332233213312 is an apocalyptic number.

It is an amenable number.

2332233213312 is an abundant number, since it is smaller than the sum of its proper divisors (3877135237248).

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

2332233213312 is a wasteful number, since it uses less digits than its factorization.

2332233213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092151 (or 14092139 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 2332233213312 its reverse (2133123322332), we get a palindrome (4465356535644).

The spelling of 2332233213312 in words is "two trillion, three hundred thirty-two billion, two hundred thirty-three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 431 862 1293 1724 2586 3448 5172 6896 10344 13792 20688 27584 41376 55168 82752 165504 14091703 28183406 42275109 56366812 84550218 112733624 169100436 225467248 338200872 450934496 676401744 901868992 1352803488 1803737984 2705606976 5411213952 6073523993 12147047986 18220571979 24294095972 36441143958 48588191944 72882287916 97176383888 145764575832 194352767776 291529151664 388705535552 583058303328 777411071104 1166116606656 2332233213312