[go: up one dir, main page]

Search a number
-
+
2302888 = 237174159
BaseRepresentation
bin1000110010001110101000
311022222222011
420302032220
51042143023
6121205304
725400650
oct10621650
94288864
102302888
111333215
12930834
13628273
1443d360
1530750d
hex2323a8

2302888 has 64 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 890880.

The previous prime is 2302879. The next prime is 2302889. The reversal of 2302888 is 8882032.

2302888 is nontrivially palindromic in base 3.

2302888 is digitally balanced in base 5, 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 (2302889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39003 + ... + 39061.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22302888 is an apocalyptic number.

2302888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2302888 is an abundant number, since it is smaller than the sum of its proper divisors (3140312).

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

2302888 is a wasteful number, since it uses less digits than its factorization.

2302888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2302888 is about 1517.5269355105. The cubic root of 2302888 is about 132.0558380231.

Adding to 2302888 its product of nonzero digits (6144), we get a palindrome (2309032).

The spelling of 2302888 in words is "two million, three hundred two thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 59 68 82 118 119 136 164 236 238 287 328 413 472 476 574 697 826 952 1003 1148 1394 1652 2006 2296 2419 2788 3304 4012 4838 4879 5576 7021 8024 9676 9758 14042 16933 19352 19516 28084 33866 39032 41123 56168 67732 82246 135464 164492 287861 328984 575722 1151444 2302888