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10022197 = 17292701
BaseRepresentation
bin100110001110…
…110100110101
3200212011212111
4212032310311
510031202242
6554451021
7151121143
oct46166465
920764774
1010022197
115725909
123433a71
1320cb9c3
14148c593
15d2e817
hex98ed35

10022197 has 12 divisors (see below), whose sum is σ = 11005956. Its totient is φ = 9094400.

The previous prime is 10022191. The next prime is 10022219. The reversal of 10022197 is 79122001.

It can be written as a sum of positive squares in 6 ways, for example, as 1343281 + 8678916 = 1159^2 + 2946^2 .

It is not a de Polignac number, because 10022197 - 27 = 10022069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022191) 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 11 ways as a sum of consecutive naturals, for example, 13947 + ... + 14647.

It is an arithmetic number, because the mean of its divisors is an integer number (917163).

Almost surely, 210022197 is an apocalyptic number.

10022197 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10022197 is a deficient number, since it is larger than the sum of its proper divisors (983759).

10022197 is an equidigital number, since it uses as much as digits as its factorization.

10022197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 10022197 is about 3165.7853685934. The cubic root of 10022197 is about 215.6027578262.

Adding to 10022197 its reverse (79122001), we get a palindrome (89144198).

The spelling of 10022197 in words is "ten million, twenty-two thousand, one hundred ninety-seven".

Divisors: 1 17 29 493 701 841 11917 14297 20329 345593 589541 10022197