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2281158 = 2321141281
BaseRepresentation
bin1000101100111011000110
311021220011100
420230323012
51040444113
6120520530
725250415
oct10547306
94256140
102281158
111318960
12920146
1361b3c9
1443547c
15300d73
hex22cec6

2281158 has 48 divisors (see below), whose sum is σ = 5542992. Its totient is φ = 672000.

The previous prime is 2281151. The next prime is 2281183. The reversal of 2281158 is 8511822.

2281158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281151) 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, 7978 + ... + 8258.

It is an arithmetic number, because the mean of its divisors is an integer number (115479).

22281158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771496).

2281158 is an abundant number, since it is smaller than the sum of its proper divisors (3261834).

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

2281158 is a wasteful number, since it uses less digits than its factorization.

2281158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 338 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 2281158 is about 1510.3502904956. The cubic root of 2281158 is about 131.6391660416.

The spelling of 2281158 in words is "two million, two hundred eighty-one thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 281 369 451 562 738 843 902 1353 1686 2529 2706 3091 4059 5058 6182 8118 9273 11521 18546 23042 27819 34563 55638 69126 103689 126731 207378 253462 380193 760386 1140579 2281158