Search a number
-
+
2288251 = 72174167
BaseRepresentation
bin1000101110101001111011
311022020220001
420232221323
51041211001
6121013431
725310200
oct10565173
94266801
102288251
111323219
12924277
136216c4
14437ca7
15303001
hex22ea7b

2288251 has 24 divisors (see below), whose sum is σ = 2930256. Its totient is φ = 1774080.

The previous prime is 2288249. The next prime is 2288257. The reversal of 2288251 is 1528822.

It is not a de Polignac number, because 2288251 - 21 = 2288249 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2288257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34120 + ... + 34186.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

22288251 is an apocalyptic number.

2288251 is a deficient number, since it is larger than the sum of its proper divisors (642005).

2288251 is a wasteful number, since it uses less digits than its factorization.

2288251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 2288251 is about 1512.6965987930. The cubic root of 2288251 is about 131.7754638505.

It can be divided in two parts, 228825 and 1, that added together give a triangular number (228826 = T676).

The spelling of 2288251 in words is "two million, two hundred eighty-eight thousand, two hundred fifty-one".

Divisors: 1 7 17 41 49 67 119 287 469 697 833 1139 2009 2747 3283 4879 7973 19229 34153 46699 55811 134603 326893 2288251