Search a number
-
+
2233441 = 71512113
BaseRepresentation
bin1000100001010001100001
311012110201001
420201101201
51032432231
6115512001
724661330
oct10412141
94173631
102233441
111296021
128b8601
13602782
14421d17
152e1b61
hex221461

2233441 has 8 divisors (see below), whose sum is σ = 2570624. Its totient is φ = 1900800.

The previous prime is 2233433. The next prime is 2233459. The reversal of 2233441 is 1443322.

Adding to 2233441 its reverse (1443322), we get a palindrome (3676763).

2233441 is a nontrivial binomial coefficient, being equal to C(2114, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(2233441) divides (2233441-1)2.

It is a cyclic number.

It is not a de Polignac number, because 2233441 - 23 = 2233433 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 2113.

It is an arithmetic number, because the mean of its divisors is an integer number (321328).

It is a Poulet number, since it divides 22233440-1.

22233441 is an apocalyptic number.

2233441 is the 2113-rd triangular number and also the 1057-th hexagonal number.

2233441 is the 705-th centered nonagonal number.

It is an amenable number.

2233441 is a deficient number, since it is larger than the sum of its proper divisors (337183).

2233441 is a wasteful number, since it uses less digits than its factorization.

2233441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271.

The product of its digits is 576, while the sum is 19.

The square root of 2233441 is about 1494.4701402169. The cubic root of 2233441 is about 130.7148196756.

The spelling of 2233441 in words is "two million, two hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 7 151 1057 2113 14791 319063 2233441