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233141414300 = 22522331414143
BaseRepresentation
bin1101100100100001001…
…1111010100110011100
3211021210000200222011022
43121020103322212130
512304433200224200
6255034221343312
722562314216064
oct3311023724634
9737700628138
10233141414300
118a9692832a3
1239226707b38
1318ca647c7b2
14b3d98243a4
1560e7c77885
hex36484fa99c

233141414300 has 18 divisors (see below), whose sum is σ = 505916869248. Its totient is φ = 93256565680.

The previous prime is 233141414293. The next prime is 233141414323. The reversal of 233141414300 is 3414141332.

It is a happy number.

233141414300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233141414300.

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 5 ways as a sum of consecutive naturals, for example, 1165706972 + ... + 1165707171.

It is an arithmetic number, because the mean of its divisors is an integer number (28106492736).

Almost surely, 2233141414300 is an apocalyptic number.

233141414300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233141414300 is an abundant number, since it is smaller than the sum of its proper divisors (272775454948).

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

233141414300 is a wasteful number, since it uses less digits than its factorization.

233141414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331414157 (or 2331414150 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 233141414300 its reverse (3414141332), we get a palindrome (236555555632).

The spelling of 233141414300 in words is "two hundred thirty-three billion, one hundred forty-one million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2331414143 4662828286 9325656572 11657070715 23314141430 46628282860 58285353575 116570707150 233141414300