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212744862 = 232112195397
BaseRepresentation
bin11001010111000…
…11101010011110
3112211022120002100
430223203222132
5413430313422
633035505530
75162205261
oct1453435236
9484276070
10212744862
11aa0a8400
125b2b82a6
13350ca345
142037ccd8
1513a257ac
hexcae3a9e

212744862 has 144 divisors (see below), whose sum is σ = 548992080. Its totient is φ = 59304960.

The previous prime is 212744827. The next prime is 212744863. The reversal of 212744862 is 268447212.

212744862 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212744863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2193198 + ... + 2193294.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 2212744862 is an apocalyptic number.

212744862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212744862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

212744862 is an abundant number, since it is smaller than the sum of its proper divisors (336247218).

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

212744862 is a wasteful number, since it uses less digits than its factorization.

212744862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 212744862 is about 14585.7760163798. The cubic root of 212744862 is about 596.9707147912.

The spelling of 212744862 in words is "two hundred twelve million, seven hundred forty-four thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 53 57 66 97 99 106 114 121 159 171 194 198 209 242 291 318 342 363 418 477 582 583 627 726 873 954 1007 1067 1089 1166 1254 1746 1749 1843 1881 2014 2134 2178 2299 3021 3201 3498 3686 3762 4598 5141 5247 5529 6042 6402 6413 6897 9063 9603 10282 10494 11058 11077 11737 12826 13794 15423 16587 18126 19206 19239 20273 20691 22154 23474 30846 33174 33231 35211 38478 40546 41382 46269 56551 57717 60819 66462 70422 92538 97679 99693 105633 113102 115434 121638 121847 169653 182457 195358 199386 211266 223003 243694 293037 339306 364914 365541 446006 508959 586074 622061 669009 731082 879111 1017918 1074469 1096623 1244122 1338018 1758222 1866183 2007027 2148938 2193246 3223407 3732366 4014054 5598549 6446814 9670221 11197098 11819159 19340442 23638318 35457477 70914954 106372431 212744862