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10211214 = 23133141103
BaseRepresentation
bin100110111100…
…111110001110
3201012210011010
4212330332032
510103224324
61002510050
7152536206
oct46747616
921183133
1010211214
115844922
123505326
132166a50
1414db406
15d6a829
hex9bcf8e

10211214 has 64 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 2937600.

The previous prime is 10211213. The next prime is 10211221. The reversal of 10211214 is 41211201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99087 + ... + 99189.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 210211214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184).

10211214 is an abundant number, since it is smaller than the sum of its proper divisors (13271154).

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

10211214 is a wasteful number, since it uses less digits than its factorization.

10211214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10211214 is about 3195.4990220621. The cubic root of 10211214 is about 216.9497359992.

Adding to 10211214 its reverse (41211201), we get a palindrome (51422415).

It can be divided in two parts, 102 and 11214, that multiplied together give a triangular number (1143828 = T1512).

The spelling of 10211214 in words is "ten million, two hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 41 62 78 82 93 103 123 186 206 246 309 403 533 618 806 1066 1209 1271 1339 1599 2418 2542 2678 3193 3198 3813 4017 4223 6386 7626 8034 8446 9579 12669 16523 19158 25338 33046 41509 49569 54899 83018 99138 109798 124527 130913 164697 249054 261826 329394 392739 785478 1701869 3403738 5105607 10211214