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2242513 = 713191297
BaseRepresentation
bin1000100011011111010001
311012221011001
420203133101
51033230023
6120022001
725026640
oct10433721
94187131
102242513
1112a1919
12901901
13606940
14425357
152e46ad
hex2237d1

2242513 has 16 divisors (see below), whose sum is σ = 2907520. Its totient is φ = 1679616.

The previous prime is 2242469. The next prime is 2242517. The reversal of 2242513 is 3152422.

2242513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 3-Lehmer number, since φ(2242513) divides (2242513-1)3.

It is a cyclic number.

It is not a de Polignac number, because 2242513 - 221 = 145361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2242517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081 + ... + 2377.

It is an arithmetic number, because the mean of its divisors is an integer number (181720).

22242513 is an apocalyptic number.

It is an amenable number.

2242513 is a deficient number, since it is larger than the sum of its proper divisors (665007).

2242513 is a wasteful number, since it uses less digits than its factorization.

2242513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336.

The product of its digits is 480, while the sum is 19.

The square root of 2242513 is about 1497.5022537546. The cubic root of 2242513 is about 130.8915638215.

Adding to 2242513 its reverse (3152422), we get a palindrome (5394935).

Subtracting 2242513 from its reverse (3152422), we obtain a palindrome (909909).

The spelling of 2242513 in words is "two million, two hundred forty-two thousand, five hundred thirteen".

Divisors: 1 7 13 19 91 133 247 1297 1729 9079 16861 24643 118027 172501 320359 2242513