Search a number
-
+
2288781 = 321161379
BaseRepresentation
bin1000101110110010001101
311022021121200
420232302031
51041220111
6121020113
725311555
oct10566215
94267550
102288781
111323660
12924639
13621a11
14438165
15303256
hex22ec8d

2288781 has 24 divisors (see below), whose sum is σ = 3675360. Its totient is φ = 1360800.

The previous prime is 2288773. The next prime is 2288801. The reversal of 2288781 is 1878822.

2288781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2288781 - 23 = 2288773 is a prime.

It is a super-2 number, since 2×22887812 = 10477036931922, which contains 22 as substring.

2288781 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288711) 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, 5850 + ... + 6228.

It is an arithmetic number, because the mean of its divisors is an integer number (153140).

22288781 is an apocalyptic number.

It is an amenable number.

2288781 is a deficient number, since it is larger than the sum of its proper divisors (1386579).

2288781 is a wasteful number, since it uses less digits than its factorization.

2288781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2288781 is about 1512.8717724910. The cubic root of 2288781 is about 131.7856369193.

It can be divided in two parts, 228 and 8781, that added together give a palindrome (9009).

The spelling of 2288781 in words is "two million, two hundred eighty-eight thousand, seven hundred eighty-one".

Divisors: 1 3 9 11 33 61 99 183 379 549 671 1137 2013 3411 4169 6039 12507 23119 37521 69357 208071 254309 762927 2288781