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10220238 = 2327292797
BaseRepresentation
bin100110111111…
…001011001110
3201020020112100
4212333023032
510104021423
61003015530
7152604420
oct46771316
921206470
1010220238
115850686
12350a5a6
13216aba2
141500810
15d6d343
hex9bf2ce

10220238 has 48 divisors (see below), whose sum is σ = 26189280. Its totient is φ = 2818368.

The previous prime is 10220159. The next prime is 10220239. The reversal of 10220238 is 83202201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10220238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2256 + ... + 5052.

It is an arithmetic number, because the mean of its divisors is an integer number (545610).

Almost surely, 210220238 is an apocalyptic number.

10220238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094640).

10220238 is an abundant number, since it is smaller than the sum of its proper divisors (15969042).

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

10220238 is a wasteful number, since it uses less digits than its factorization.

10220238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10220238 is about 3196.9106962816. The cubic root of 10220238 is about 217.0136258230.

Adding to 10220238 its reverse (83202201), we get a palindrome (93422439).

The spelling of 10220238 in words is "ten million, two hundred twenty thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 2797 3654 5594 8391 16782 19579 25173 39158 50346 58737 81113 117474 162226 176211 243339 352422 486678 567791 730017 1135582 1460034 1703373 3406746 5110119 10220238