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2288961 = 32254329
BaseRepresentation
bin1000101110110101000001
311022021212100
420232311001
51041221321
6121021013
725312233
oct10566501
94267770
102288961
111323804
12924769
13621b1c
14438253
15303326
hex22ed41

2288961 has 6 divisors (see below), whose sum is σ = 3306290. Its totient is φ = 1525968.

The previous prime is 2288953. The next prime is 2289013. The reversal of 2288961 is 1698822.

2288961 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 1199025 + 1089936 = 1095^2 + 1044^2 .

It is not a de Polignac number, because 2288961 - 23 = 2288953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2288161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127156 + ... + 127173.

22288961 is an apocalyptic number.

It is an amenable number.

2288961 is a deficient number, since it is larger than the sum of its proper divisors (1017329).

2288961 is a wasteful number, since it uses less digits than its factorization.

2288961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254335 (or 254332 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2288961 is about 1512.9312608311. The cubic root of 2288961 is about 131.7890915665.

It can be divided in two parts, 2288 and 961, that added together give a square (3249 = 572).

The spelling of 2288961 in words is "two million, two hundred eighty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 9 254329 762987 2288961