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830822022 = 23428118251
BaseRepresentation
bin110001100001010…
…101011010000110
32010220100010120000
4301201111122012
53200142301042
6214235222130
726405604432
oct6141253206
92126303500
10830822022
11396a82978
121b22a7946
13103185084
147c4ad9c2
154ce1474c
hex31855686

830822022 has 40 divisors (see below), whose sum is σ = 1868384232. Its totient is φ = 275940000.

The previous prime is 830822021. The next prime is 830822033. The reversal of 830822022 is 220228038.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830822021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36397 + ... + 54647.

Almost surely, 2830822022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830822022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934192116).

830822022 is an abundant number, since it is smaller than the sum of its proper divisors (1037562210).

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

830822022 is a wasteful number, since it uses less digits than its factorization.

830822022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18546 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 830822022 is about 28823.9834512858. The cubic root of 830822022 is about 940.0897839395.

The spelling of 830822022 in words is "eight hundred thirty million, eight hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 562 843 1686 2529 5058 7587 15174 18251 22761 36502 45522 54753 109506 164259 328518 492777 985554 1478331 2956662 5128531 10257062 15385593 30771186 46156779 92313558 138470337 276940674 415411011 830822022