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8132022 = 233413673
BaseRepresentation
bin11111000001010110110110
3120022011001000
4133001112312
54040211042
6450144130
7126056343
oct37012666
916264030
108132022
114654788
122882046
1318b9562
1411197ca
15aa974c
hex7c15b6

8132022 has 32 divisors (see below), whose sum is σ = 18516960. Its totient is φ = 2643840.

The previous prime is 8132017. The next prime is 8132027. The reversal of 8132022 is 2202318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8132017) and next prime (8132027).

It is a super-2 number, since 2×81320222 = 132259563616968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8131986 and 8132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132027) 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 15 ways as a sum of consecutive naturals, for example, 378 + ... + 4050.

It is an arithmetic number, because the mean of its divisors is an integer number (578655).

Almost surely, 28132022 is an apocalyptic number.

8132022 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258480).

8132022 is an abundant number, since it is smaller than the sum of its proper divisors (10384938).

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

8132022 is a wasteful number, since it uses less digits than its factorization.

8132022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8132022 is about 2851.6700370134. The cubic root of 8132022 is about 201.0941861994.

The spelling of 8132022 in words is "eight million, one hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 3673 7346 11019 22038 33057 66114 99171 150593 198342 301186 451779 903558 1355337 2710674 4066011 8132022