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212223102 = 237132291031
BaseRepresentation
bin11001010011001…
…00010001111110
3112210100001100220
430221210101332
5413312114402
633020402210
75154603150
oct1451442176
9483301326
10212223102
11a98813a3
125b0a6366
1334c76a00
1420284ad0
1513970dbc
hexca6447e

212223102 has 96 divisors (see below), whose sum is σ = 543905280. Its totient is φ = 53988480.

The previous prime is 212223097. The next prime is 212223133. The reversal of 212223102 is 201322212.

It is a happy number.

212223102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205327 + ... + 206357.

It is an arithmetic number, because the mean of its divisors is an integer number (5665680).

Almost surely, 2212223102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212223102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271952640).

212223102 is an abundant number, since it is smaller than the sum of its proper divisors (331682178).

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

212223102 is a wasteful number, since it uses less digits than its factorization.

212223102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212223102 is about 14567.8791181146. The cubic root of 212223102 is about 596.4822887058.

Adding to 212223102 its reverse (201322212), we get a palindrome (413545314).

The spelling of 212223102 in words is "two hundred twelve million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 169 174 182 203 273 338 377 406 507 546 609 754 1014 1031 1131 1183 1218 2062 2262 2366 2639 3093 3549 4901 5278 6186 7098 7217 7917 9802 13403 14434 14703 15834 21651 26806 29406 29899 34307 40209 43302 59798 68614 80418 89697 93821 102921 174239 179394 187642 205842 209293 281463 348478 388687 418586 522717 562926 627879 777374 1045434 1166061 1219673 1255758 2332122 2439346 2720809 3659019 5052931 5441618 7318038 8162427 10105862 15158793 16324854 30317586 35370517 70741034 106111551 212223102