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10221705 = 32513101173
BaseRepresentation
bin100110111111…
…100010001001
3201020022112200
4212333202021
510104043310
61003030413
7152611614
oct46774211
921208480
1010221705
11585179a
12350b409
13216b760
14150117b
15d6d9c0
hex9bf889

10221705 has 48 divisors (see below), whose sum is σ = 19380816. Its totient is φ = 4953600.

The previous prime is 10221703. The next prime is 10221713. The reversal of 10221705 is 50712201.

It can be written as a sum of positive squares in 8 ways, for example, as 710649 + 9511056 = 843^2 + 3084^2 .

It is not a de Polignac number, because 10221705 - 21 = 10221703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221703) 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 47 ways as a sum of consecutive naturals, for example, 58999 + ... + 59171.

It is an arithmetic number, because the mean of its divisors is an integer number (403767).

Almost surely, 210221705 is an apocalyptic number.

10221705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10221705 is a deficient number, since it is larger than the sum of its proper divisors (9159111).

10221705 is a wasteful number, since it uses less digits than its factorization.

10221705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10221705 is about 3197.1401283022. The cubic root of 10221705 is about 217.0240086131.

Adding to 10221705 its reverse (50712201), we get a palindrome (60933906).

The spelling of 10221705 in words is "ten million, two hundred twenty-one thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 101 117 173 195 303 505 519 585 865 909 1313 1515 1557 2249 2595 3939 4545 6565 6747 7785 11245 11817 17473 19695 20241 33735 52419 59085 87365 101205 157257 227149 262095 681447 786285 1135745 2044341 3407235 10221705