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212000334 = 23713596581
BaseRepresentation
bin11001010001011…
…01111001001110
3112202220201210020
430220231321032
5413233002314
633011523010
75152654530
oct1450557116
9482821706
10212000334
11a9739a97
125abb9466
1334bc94b0
1420227850
1513929da9
hexca2de4e

212000334 has 64 divisors (see below), whose sum is σ = 530772480. Its totient is φ = 54956160.

The previous prime is 212000323. The next prime is 212000339. The reversal of 212000334 is 433000212.

It is a super-2 number, since 2×2120003342 = 89888283232223112, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000339) 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, 28924 + ... + 35504.

It is an arithmetic number, because the mean of its divisors is an integer number (8293320).

Almost surely, 2212000334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265386240).

212000334 is an abundant number, since it is smaller than the sum of its proper divisors (318772146).

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

212000334 is a wasteful number, since it uses less digits than its factorization.

212000334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 212000334 is about 14560.2312481636. The cubic root of 212000334 is about 596.2735089114.

Adding to 212000334 its reverse (433000212), we get a palindrome (645000546).

The spelling of 212000334 in words is "two hundred twelve million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 13 14 21 26 39 42 59 78 91 118 177 182 273 354 413 546 767 826 1239 1534 2301 2478 4602 5369 6581 10738 13162 16107 19743 32214 39486 46067 85553 92134 138201 171106 256659 276402 388279 513318 598871 776558 1164837 1197742 1796613 2329674 2717953 3593226 5047627 5435906 8153859 10095254 15142881 16307718 30285762 35333389 70666778 106000167 212000334