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234022222141312 = 271117105123813907
BaseRepresentation
bin110101001101011110001011…
…011010111001011110000000
31010200121022021000220021001111
4311031132023122321132000
5221133210002332010222
62145420154044213104
7100202355553061143
oct6515361332713600
91120538230807044
10234022222141312
11686262a34a7710
12222b70a883a194
13a07727c385aa7
1441b0a4379805a
151c0c6c5bd1777
hexd4d78b6b9780

234022222141312 has 256 divisors, whose sum is σ = 539393841480960. Its totient is φ = 99953602560000.

The previous prime is 234022222141289. The next prime is 234022222141313. The reversal of 234022222141312 is 213141222220432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234022222141313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59898186463 + ... + 59898190369.

It is an arithmetic number, because the mean of its divisors is an integer number (2107007193285).

Almost surely, 2234022222141312 is an apocalyptic number.

234022222141312 is a gapful number since it is divisible by the number (22) 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 234022222141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269696920740480).

234022222141312 is an abundant number, since it is smaller than the sum of its proper divisors (305371619339648).

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

234022222141312 is a wasteful number, since it uses less digits than its factorization.

234022222141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 234022222141312 its reverse (213141222220432), we get a palindrome (447163444361744).

The spelling of 234022222141312 in words is "two hundred thirty-four trillion, twenty-two billion, two hundred twenty-two million, one hundred forty-one thousand, three hundred twelve".