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10000212 = 22337101223
BaseRepresentation
bin100110001001…
…011101010100
3200211001201020
4212021131110
510030001322
6554201140
7151000065
oct46113524
920731636
1010000212
115710342
1234231b0
1320c19b1
14148456c
15d2805c
hex989754

10000212 has 48 divisors (see below), whose sum is σ = 24310272. Its totient is φ = 3196800.

The previous prime is 10000189. The next prime is 10000223. The reversal of 10000212 is 21200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10000212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44733 + ... + 44955.

It is an arithmetic number, because the mean of its divisors is an integer number (506464).

Almost surely, 210000212 is an apocalyptic number.

10000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000212 is an abundant number, since it is smaller than the sum of its proper divisors (14310060).

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

10000212 is a wasteful number, since it uses less digits than its factorization.

10000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10000212 is about 3162.3111801339. The cubic root of 10000212 is about 215.4449914596. Note that the first 3 decimals are identical.

Adding to 10000212 its reverse (21200001), we get a palindrome (31200213).

The spelling of 10000212 in words is "ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 37 74 101 111 148 202 222 223 303 404 444 446 606 669 892 1212 1338 2676 3737 7474 8251 11211 14948 16502 22422 22523 24753 33004 44844 45046 49506 67569 90092 99012 135138 270276 833351 1666702 2500053 3333404 5000106 10000212