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10221354 = 23211213192
BaseRepresentation
bin100110111111…
…011100101010
3201020022001200
4212333130222
510104040404
61003025030
7152610603
oct46773452
921208050
1010221354
115851500
12350b176
13216b550
141500daa
15d6d839
hex9bf72a

10221354 has 108 divisors (see below), whose sum is σ = 27667458. Its totient is φ = 2708640.

The previous prime is 10221353. The next prime is 10221371. The reversal of 10221354 is 45312201.

It can be written as a sum of positive squares in only one way, i.e., 9828225 + 393129 = 3135^2 + 627^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10221353) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 537957 + ... + 537975.

Almost surely, 210221354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833729).

10221354 is an abundant number, since it is smaller than the sum of its proper divisors (17446104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221354 is a wasteful number, since it uses less digits than its factorization.

10221354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10221354 is about 3197.0852350227. The cubic root of 10221354 is about 217.0215244776.

Adding to 10221354 its reverse (45312201), we get a palindrome (55533555).

The spelling of 10221354 in words is "ten million, two hundred twenty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 121 143 171 198 209 234 242 247 286 342 361 363 418 429 494 627 722 726 741 858 1083 1089 1254 1287 1482 1573 1881 2166 2178 2223 2299 2574 2717 3146 3249 3762 3971 4446 4598 4693 4719 5434 6498 6897 7942 8151 9386 9438 11913 13794 14079 14157 16302 20691 23826 24453 28158 28314 29887 35739 41382 42237 43681 48906 51623 59774 71478 84474 87362 89661 103246 131043 154869 179322 262086 268983 309738 393129 464607 537966 567853 786258 929214 1135706 1703559 3407118 5110677 10221354