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212334012 = 2232111731541
BaseRepresentation
bin11001010011111…
…11010110111100
3112210112200111200
430221333112330
5413324142022
633023015500
75155544412
oct1451772674
9483480450
10212334012
11a9947760
125b13a590
1334cb5337
14202b32b2
1513993bac
hexca7f5bc

212334012 has 72 divisors (see below), whose sum is σ = 619989552. Its totient is φ = 60556800.

The previous prime is 212334011. The next prime is 212334013. The reversal of 212334012 is 210433212.

It is an interprime number because it is at equal distance from previous prime (212334011) and next prime (212334013).

It is a super-2 number, since 2×2123340122 = 90171465304032288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212334011) 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, 9039 + ... + 22502.

It is an arithmetic number, because the mean of its divisors is an integer number (8610966).

Almost surely, 2212334012 is an apocalyptic number.

212334012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212334012 is an abundant number, since it is smaller than the sum of its proper divisors (407655540).

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

212334012 is a wasteful number, since it uses less digits than its factorization.

212334012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31579 (or 31574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212334012 is about 14571.6852834530. The cubic root of 212334012 is about 596.5861798920.

Adding to 212334012 its reverse (210433212), we get a palindrome (422767224).

The spelling of 212334012 in words is "two hundred twelve million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 31541 63082 94623 126164 189246 283869 346951 378492 536197 567738 693902 1040853 1072394 1135476 1387804 1608591 2081706 2144788 3122559 3217182 4163412 4825773 5898167 6245118 6434364 9651546 11796334 12490236 17694501 19303092 23592668 35389002 53083503 70778004 106167006 212334012