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830337222 = 23111321729151
BaseRepresentation
bin110001011111011…
…111000011000110
32010212102111112110
4301133133003012
53200031242342
6214221001450
726401515141
oct6137370306
92125374473
10830337222
11396781710
121b20b3286
13103045500
147c3c5058
154cd6ac9c
hex317df0c6

830337222 has 192 divisors, whose sum is σ = 2162972160. Its totient is φ = 209664000.

The previous prime is 830337199. The next prime is 830337223. The reversal of 830337222 is 222733038.

It is a self number, because there is not a number n which added to its sum of digits gives 830337222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830337223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5498847 + ... + 5498997.

It is an arithmetic number, because the mean of its divisors is an integer number (11265480).

Almost surely, 2830337222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830337222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081486080).

830337222 is an abundant number, since it is smaller than the sum of its proper divisors (1332634938).

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

830337222 is a wasteful number, since it uses less digits than its factorization.

830337222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 830337222 is about 28815.5725606832. The cubic root of 830337222 is about 939.9068951092.

The spelling of 830337222 in words is "eight hundred thirty million, three hundred thirty-seven thousand, two hundred twenty-two".