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10224137 = 711212071
BaseRepresentation
bin100111000000…
…001000001001
3201020102212202
4213000020021
510104133022
61003045545
7152621660
oct47001011
921212782
1010224137
115853600
1235108b5
13216c8b1
141501dd7
15d6e592
hex9c0209

10224137 has 12 divisors (see below), whose sum is σ = 12844608. Its totient is φ = 7966200.

The previous prime is 10224119. The next prime is 10224139. The reversal of 10224137 is 73142201.

It is not a de Polignac number, because 10224137 - 26 = 10224073 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10224139) 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 11 ways as a sum of consecutive naturals, for example, 5189 + ... + 6882.

It is an arithmetic number, because the mean of its divisors is an integer number (1070384).

Almost surely, 210224137 is an apocalyptic number.

It is an amenable number.

10224137 is a deficient number, since it is larger than the sum of its proper divisors (2620471).

10224137 is a wasteful number, since it uses less digits than its factorization.

10224137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12100 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10224137 is about 3197.5204455953. The cubic root of 10224137 is about 217.0412190665.

Adding to 10224137 its reverse (73142201), we get a palindrome (83366338).

The spelling of 10224137 in words is "ten million, two hundred twenty-four thousand, one hundred thirty-seven".

Divisors: 1 7 11 77 121 847 12071 84497 132781 929467 1460591 10224137