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212322132 = 2232113743337
BaseRepresentation
bin11001010011111…
…00011101010100
3112210112002012200
430221330131110
5413323302012
633022444500
75155464651
oct1451743524
9483462180
10212322132
11a9939840
125b133730
1334cacac9
14202acc28
15139903dc
hexca7c754

212322132 has 144 divisors (see below), whose sum is σ = 617128512. Its totient is φ = 60963840.

The previous prime is 212322127. The next prime is 212322167. The reversal of 212322132 is 231223212.

212322132 is a `hidden beast` number, since 212 + 322 + 132 = 666.

212322132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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, 629868 + ... + 630204.

Almost surely, 2212322132 is an apocalyptic number.

212322132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308564256).

212322132 is an abundant number, since it is smaller than the sum of its proper divisors (404806380).

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

212322132 is a wasteful number, since it uses less digits than its factorization.

212322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

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

The square root of 212322132 is about 14571.2776378738. The cubic root of 212322132 is about 596.5750534346.

Adding to 212322132 its reverse (231223212), we get a palindrome (443545344).

The spelling of 212322132 in words is "two hundred twelve million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 43 44 66 74 86 99 111 129 132 148 172 198 222 258 333 337 387 396 407 444 473 516 666 674 774 814 946 1011 1221 1332 1348 1419 1548 1591 1628 1892 2022 2442 2838 3033 3182 3663 3707 4044 4257 4773 4884 5676 6066 6364 7326 7414 8514 9546 11121 12132 12469 14319 14491 14652 14828 17028 17501 19092 22242 24938 28638 28982 33363 35002 37407 43473 44484 49876 52503 57276 57964 66726 70004 74814 86946 105006 112221 130419 133452 137159 149628 157509 159401 173892 210012 224442 260838 274318 315018 318802 411477 448884 478203 521676 536167 548636 630036 637604 822954 956406 1072334 1234431 1434609 1608501 1645908 1912812 2144668 2468862 2869218 3217002 4825503 4937724 5738436 5897837 6434004 9651006 11795674 17693511 19302012 23591348 35387022 53080533 70774044 106161066 212322132