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234031140200 = 235211138219967
BaseRepresentation
bin1101100111110101010…
…1111100110101101000
3211101002000212201122102
43121331111330311220
512313243432441300
6255302403312532
722623336604124
oct3317525746550
9741060781572
10234031140200
1190285528560
123943467b748
13190b88b9920
14b481a68584
15614ae250d5
hex367d57cd68

234031140200 has 192 divisors, whose sum is σ = 640091531520. Its totient is φ = 78452352000.

The previous prime is 234031140173. The next prime is 234031140221. The reversal of 234031140200 is 2041130432.

234031140200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 23475617 + ... + 23485583.

It is an arithmetic number, because the mean of its divisors is an integer number (3333810060).

Almost surely, 2234031140200 is an apocalyptic number.

234031140200 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 234031140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320045765760).

234031140200 is an abundant number, since it is smaller than the sum of its proper divisors (406060391320).

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

234031140200 is a wasteful number, since it uses less digits than its factorization.

234031140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 234031140200 its reverse (2041130432), we get a palindrome (236072270632).

The spelling of 234031140200 in words is "two hundred thirty-four billion, thirty-one million, one hundred forty thousand, two hundred".