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2271906 = 2327131973
BaseRepresentation
bin1000101010101010100010
311021102110200
420222222202
51040200111
6120410030
725211430
oct10525242
94242420
102271906
111311a0a
12916916
13617130
14431d50
152ed256
hex22aaa2

2271906 has 96 divisors (see below), whose sum is σ = 6464640. Its totient is φ = 559872.

The previous prime is 2271901. The next prime is 2271923. The reversal of 2271906 is 6091722.

2271906 = 1342 + 1352 + ... + 2092.

2271906 is nontrivially palindromic in base 4.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2271906.

It is not an unprimeable number, because it can be changed into a prime (2271901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31086 + ... + 31158.

It is an arithmetic number, because the mean of its divisors is an integer number (67340).

22271906 is an apocalyptic number.

2271906 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 2271906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232320).

2271906 is an abundant number, since it is smaller than the sum of its proper divisors (4192734).

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

2271906 is a wasteful number, since it uses less digits than its factorization.

2271906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2271906 is about 1507.2843129284. The cubic root of 2271906 is about 131.4609559903.

The spelling of 2271906 in words is "two million, two hundred seventy-one thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 73 78 91 114 117 126 133 146 171 182 219 234 247 266 273 342 399 438 494 511 546 657 741 798 819 949 1022 1197 1314 1387 1482 1533 1638 1729 1898 2223 2394 2774 2847 3066 3458 4161 4446 4599 5187 5694 6643 8322 8541 9198 9709 10374 12483 13286 15561 17082 18031 19418 19929 24966 29127 31122 36062 39858 54093 58254 59787 87381 108186 119574 126217 162279 174762 252434 324558 378651 757302 1135953 2271906