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212330112 = 2732329829
BaseRepresentation
bin11001010011111…
…10011010000000
3112210112111011020
430221332122000
5413324030422
633022545440
75155530141
oct1451763200
9483474136
10212330112
11a9944835
125b138280
1334cb3627
14202b1ac8
151399295c
hexca7e680

212330112 has 128 divisors (see below), whose sum is σ = 609552000. Its totient is φ = 65286144.

The previous prime is 212330101. The next prime is 212330113. The reversal of 212330112 is 211033212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 212330091 and 212330100.

It is not an unprimeable number, because it can be changed into a prime (212330113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255714 + ... + 256542.

It is an arithmetic number, because the mean of its divisors is an integer number (4762125).

Almost surely, 2212330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304776000).

212330112 is an abundant number, since it is smaller than the sum of its proper divisors (397221888).

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

212330112 is a wasteful number, since it uses less digits than its factorization.

212330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212330112 is about 14571.5514616667. The cubic root of 212330112 is about 596.5825273128.

Adding to 212330112 its reverse (211033212), we get a palindrome (423363324).

The spelling of 212330112 in words is "two hundred twelve million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 276 348 368 384 464 552 667 696 736 829 928 1104 1334 1392 1472 1658 1856 2001 2208 2487 2668 2784 2944 3316 3712 4002 4416 4974 5336 5568 6632 8004 8832 9948 10672 11136 13264 16008 19067 19896 21344 24041 26528 32016 38134 39792 42688 48082 53056 57201 64032 72123 76268 79584 85376 96164 106112 114402 128064 144246 152536 159168 192328 228804 256128 288492 305072 318336 384656 457608 552943 576984 610144 769312 915216 1105886 1153968 1220288 1538624 1658829 1830432 2211772 2307936 2440576 3077248 3317658 3660864 4423544 4615872 6635316 7321728 8847088 9231744 13270632 17694176 26541264 35388352 53082528 70776704 106165056 212330112