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22271106 = 231113101257
BaseRepresentation
bin101010011110…
…1010010000010
31112220111012210
41110331102002
521200133411
62113202550
7360205224
oct124752202
945814183
1022271106
1111631680
127560456
1347ca090
142d5a414
151e4dca6
hex153d482

22271106 has 64 divisors (see below), whose sum is σ = 53053056. Its totient is φ = 6144000.

The previous prime is 22271099. The next prime is 22271111. The reversal of 22271106 is 60117222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86530 + ... + 86786.

It is an arithmetic number, because the mean of its divisors is an integer number (828954).

Almost surely, 222271106 is an apocalyptic number.

22271106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22271106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26526528).

22271106 is an abundant number, since it is smaller than the sum of its proper divisors (30781950).

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

22271106 is a wasteful number, since it uses less digits than its factorization.

22271106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 22271106 is about 4719.2272672547. The cubic root of 22271106 is about 281.3502216651.

Adding to 22271106 its reverse (60117222), we get a palindrome (82388328).

It can be divided in two parts, 2227 and 1106, that added together give a palindrome (3333).

The spelling of 22271106 in words is "twenty-two million, two hundred seventy-one thousand, one hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 257 286 303 429 514 606 771 858 1111 1313 1542 2222 2626 2827 3333 3341 3939 5654 6666 6682 7878 8481 10023 14443 16962 20046 25957 28886 36751 43329 51914 73502 77871 86658 110253 155742 220506 285527 337441 571054 674882 856581 1012323 1713162 2024646 3711851 7423702 11135553 22271106