Search a number
-
+
2268090 = 2325112979
BaseRepresentation
bin1000101001101110111010
311021020020100
420221232322
51040034330
6120340230
725164336
oct10515672
94236210
102268090
11130a060
12914676
13615486
144307c6
152ec060
hex229bba

2268090 has 96 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 524160.

The previous prime is 2268083. The next prime is 2268103. The reversal of 2268090 is 908622.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28671 + ... + 28749.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

22268090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2268090 is an abundant number, since it is smaller than the sum of its proper divisors (4471110).

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

2268090 is a wasteful number, since it uses less digits than its factorization.

2268090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2268090 is about 1506.0179281801. The cubic root of 2268090 is about 131.3873120781.

The spelling of 2268090 in words is "two million, two hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 79 87 90 99 110 145 158 165 174 198 237 261 290 319 330 395 435 474 495 522 638 711 790 869 870 957 990 1185 1305 1422 1595 1738 1914 2291 2370 2607 2610 2871 3190 3555 4345 4582 4785 5214 5742 6873 7110 7821 8690 9570 11455 13035 13746 14355 15642 20619 22910 25201 26070 28710 34365 39105 41238 50402 68730 75603 78210 103095 126005 151206 206190 226809 252010 378015 453618 756030 1134045 2268090