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2273106 = 2311231101
BaseRepresentation
bin1000101010111101010010
311021111010010
420222331102
51040214411
6120415350
725215063
oct10527522
94244103
102273106
111312900
12917556
13617844
1443256a
152ed7a6
hex22af52

2273106 has 48 divisors (see below), whose sum is σ = 5209344. Its totient is φ = 660000.

The previous prime is 2273101. The next prime is 2273119. The reversal of 2273106 is 6013722.

It is a happy number.

2273106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2273101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22456 + ... + 22556.

It is an arithmetic number, because the mean of its divisors is an integer number (108528).

22273106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604672).

2273106 is an abundant number, since it is smaller than the sum of its proper divisors (2936238).

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

2273106 is a wasteful number, since it uses less digits than its factorization.

2273106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2273106 is about 1507.6823272825. The cubic root of 2273106 is about 131.4840974085.

Adding to 2273106 its reverse (6013722), we get a palindrome (8286828).

It can be divided in two parts, 227 and 3106, that added together give a palindrome (3333).

The spelling of 2273106 in words is "two million, two hundred seventy-three thousand, one hundred six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 121 186 202 242 303 341 363 606 682 726 1023 1111 2046 2222 3131 3333 3751 6262 6666 7502 9393 11253 12221 18786 22506 24442 34441 36663 68882 73326 103323 206646 378851 757702 1136553 2273106