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10022409 = 3241157173
BaseRepresentation
bin100110001110…
…111000001001
3200212012011100
4212032320021
510031204114
6554452013
7151121565
oct46167011
920765140
1010022409
115725a91
123434009
1320cbb27
14148c6a5
15d2e909
hex98ee09

10022409 has 24 divisors (see below), whose sum is σ = 15010632. Its totient is φ = 6439680.

The previous prime is 10022399. The next prime is 10022437. The reversal of 10022409 is 90422001.

It can be written as a sum of positive squares in 4 ways, for example, as 585225 + 9437184 = 765^2 + 3072^2 .

It is not a de Polignac number, because 10022409 - 27 = 10022281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022391 and 10022400.

It is not an unprimeable number, because it can be changed into a prime (10022479) 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 23 ways as a sum of consecutive naturals, for example, 57847 + ... + 58019.

It is an arithmetic number, because the mean of its divisors is an integer number (625443).

Almost surely, 210022409 is an apocalyptic number.

It is an amenable number.

10022409 is a deficient number, since it is larger than the sum of its proper divisors (4988223).

10022409 is a wasteful number, since it uses less digits than its factorization.

10022409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10022409 is about 3165.8188514190. The cubic root of 10022409 is about 215.6042780338.

The spelling of 10022409 in words is "ten million, twenty-two thousand, four hundred nine".

Divisors: 1 3 9 41 123 157 173 369 471 519 1413 1557 6437 7093 19311 21279 27161 57933 63837 81483 244449 1113601 3340803 10022409