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233132222113224 = 23372203629910031
BaseRepresentation
bin110101000000100001010011…
…010010001110010111001000
31010120110020000101211101102020
4311000201103102032113020
5221024114242330110344
62143455244143004440
7100051150536464520
oct6500412322162710
91116406011741366
10233132222113224
1168312902702815
1222192705599720
13a0113745a7435
14417d934528680
151be4486559719
hexd4085348e5c8

233132222113224 has 64 divisors (see below), whose sum is σ = 666394421053440. Its totient is φ = 66578970530880.

The previous prime is 233132222113199. The next prime is 233132222113229. The reversal of 233132222113224 is 422311222231332.

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 (233132222113229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 314584912 + ... + 315325119.

It is an arithmetic number, because the mean of its divisors is an integer number (10412412828960).

Almost surely, 2233132222113224 is an apocalyptic number.

233132222113224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233132222113224 is an abundant number, since it is smaller than the sum of its proper divisors (433262198940216).

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

233132222113224 is a wasteful number, since it uses less digits than its factorization.

233132222113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629912250 (or 629912246 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 233132222113224 its reverse (422311222231332), we get a palindrome (655443444344556).

The spelling of 233132222113224 in words is "two hundred thirty-three trillion, one hundred thirty-two billion, two hundred twenty-two million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2203 4406 6609 8812 13218 15421 17624 26436 30842 46263 52872 61684 92526 123368 185052 370104 629910031 1259820062 1889730093 2519640124 3779460186 4409370217 5039280248 7558920372 8818740434 13228110651 15117840744 17637480868 26456221302 35274961736 52912442604 105824885208 1387691798293 2775383596586 4163075394879 5550767193172 8326150789758 9713842588051 11101534386344 16652301579516 19427685176102 29141527764153 33304603159032 38855370352204 58283055528306 77710740704408 116566111056612 233132222113224