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2442111 = 37237449
BaseRepresentation
bin1001010100001101111111
311121001221120
421110031333
51111121421
6124202023
726520600
oct11241577
94531846
102442111
111418881
12999313
13676749
14477da7
153338c6
hex25437f

2442111 has 24 divisors (see below), whose sum is σ = 3898800. Its totient is φ = 1354752.

The previous prime is 2442107. The next prime is 2442113. The reversal of 2442111 is 1112442.

It is not a de Polignac number, because 2442111 - 22 = 2442107 is a prime.

It is a super-2 number, since 2×24421112 = 11927812272642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442113) 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, 5215 + ... + 5663.

It is an arithmetic number, because the mean of its divisors is an integer number (162450).

22442111 is an apocalyptic number.

2442111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2442111 is a deficient number, since it is larger than the sum of its proper divisors (1456689).

2442111 is a wasteful number, since it uses less digits than its factorization.

2442111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 2442111 is about 1562.7255037274. The cubic root of 2442111 is about 134.6651233635.

Adding to 2442111 its reverse (1112442), we get a palindrome (3554553).

The spelling of 2442111 in words is "two million, four hundred forty-two thousand, one hundred eleven".

Divisors: 1 3 7 21 37 49 111 147 259 449 777 1347 1813 3143 5439 9429 16613 22001 49839 66003 116291 348873 814037 2442111