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34222023 = 3211438039
BaseRepresentation
bin1000001010001…
…0111111000111
32101101122210100
42002202333013
532230101043
63221255143
7563611443
oct202427707
971348710
1034222023
1118354570
12b5644b3
137122924
14478b823
15300ecd3
hex20a2fc7

34222023 has 24 divisors (see below), whose sum is σ = 55186560. Its totient is φ = 20255760.

The previous prime is 34222009. The next prime is 34222033. The reversal of 34222023 is 32022243.

34222023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34222023 - 25 = 34221991 is a prime.

It is a super-2 number, since 2×342220232 = 2342293716425058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34221987 and 34222005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222033) 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 23 ways as a sum of consecutive naturals, for example, 238 + ... + 8276.

It is an arithmetic number, because the mean of its divisors is an integer number (2299440).

Almost surely, 234222023 is an apocalyptic number.

34222023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34222023 is a deficient number, since it is larger than the sum of its proper divisors (20964537).

34222023 is a wasteful number, since it uses less digits than its factorization.

34222023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34222023 is about 5849.9592306272. The cubic root of 34222023 is about 324.6648157725.

Adding to 34222023 its reverse (32022243), we get a palindrome (66244266).

It can be divided in two parts, 342220 and 23, that added together give a palindrome (342243).

The spelling of 34222023 in words is "thirty-four million, two hundred twenty-two thousand, twenty-three".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 8039 24117 72351 88429 265287 345677 795861 1037031 3111093 3802447 11407341 34222023