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2261233 = 13312181
BaseRepresentation
bin1000101000000011110001
311020212211101
420220003301
51034324413
6120244401
725135342
oct10500361
94225741
102261233
111304997
12910701
13612310
1442c0c9
152e9edd
hex2280f1

2261233 has 12 divisors (see below), whose sum is σ = 2530164. Its totient is φ = 2008800.

The previous prime is 2261227. The next prime is 2261267. The reversal of 2261233 is 3321622.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 2122849 = 372^2 + 1457^2 .

It is a de Polignac number, because none of the positive numbers 2k-2261233 is a prime.

It is a super-2 number, since 2×22612332 = 10226349360578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261233.

It is not an unprimeable number, because it can be changed into a prime (2261213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12403 + ... + 12583.

It is an arithmetic number, because the mean of its divisors is an integer number (210847).

22261233 is an apocalyptic number.

It is an amenable number.

2261233 is a deficient number, since it is larger than the sum of its proper divisors (268931).

2261233 is a wasteful number, since it uses less digits than its factorization.

2261233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 2261233 is about 1503.7396716187. The cubic root of 2261233 is about 131.2547729179.

Adding to 2261233 its reverse (3321622), we get a palindrome (5582855).

The spelling of 2261233 in words is "two million, two hundred sixty-one thousand, two hundred thirty-three".

Divisors: 1 13 31 181 403 961 2353 5611 12493 72943 173941 2261233