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234022214120 = 23589184735591
BaseRepresentation
bin1101100111110011001…
…1111001100111101000
3211101001102002020100212
43121330303321213220
512313234141322440
6255301444120252
722623200666432
oct3317463714750
9741042066325
10234022214120
1190280491232
1239431696088
13190b6ab2b16
14b4807c3652
15614a260465
hex367ccf99e8

234022214120 has 64 divisors (see below), whose sum is σ = 532769529600. Its totient is φ = 92504389120.

The previous prime is 234022214119. The next prime is 234022214143. The reversal of 234022214120 is 21412220432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6557525 + ... + 6593115.

It is an arithmetic number, because the mean of its divisors is an integer number (8324523900).

Almost surely, 2234022214120 is an apocalyptic number.

234022214120 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 234022214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266384764800).

234022214120 is an abundant number, since it is smaller than the sum of its proper divisors (298747315480).

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

234022214120 is a wasteful number, since it uses less digits than its factorization.

234022214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37538 (or 37534 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 234022214120 its reverse (21412220432), we get a palindrome (255434434552).

The spelling of 234022214120 in words is "two hundred thirty-four billion, twenty-two million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 1847 3560 3694 7388 9235 14776 18470 35591 36940 71182 73880 142364 164383 177955 284728 328766 355910 657532 711820 821915 1315064 1423640 1643830 3167599 3287660 6335198 6575320 12670396 15837995 25340792 31675990 63351980 65736577 126703960 131473154 262946308 328682885 525892616 657365770 1314731540 2629463080 5850555353 11701110706 23402221412 29252776765 46804442824 58505553530 117011107060 234022214120