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10012212 = 2232767593
BaseRepresentation
bin100110001100…
…011000110100
3200211200011200
4212030120310
510030342322
6554332500
7151050060
oct46143064
920750150
1010012212
115719361
12342a130
1320c72b2
141488aa0
15d2b8ac
hex98c634

10012212 has 72 divisors (see below), whose sum is σ = 29405376. Its totient is φ = 2813184.

The previous prime is 10012193. The next prime is 10012213. The reversal of 10012212 is 21221001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012194 and 10012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012213) 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, 16588 + ... + 17180.

It is an arithmetic number, because the mean of its divisors is an integer number (408408).

Almost surely, 210012212 is an apocalyptic number.

10012212 is a gapful number since it is divisible by the number (12) 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 10012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702688).

10012212 is an abundant number, since it is smaller than the sum of its proper divisors (19393164).

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

10012212 is a wasteful number, since it uses less digits than its factorization.

10012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10012212 is about 3164.2079577676. The cubic root of 10012212 is about 215.5311331825.

Adding to 10012212 its reverse (21221001), we get a palindrome (31233213).

The spelling of 10012212 in words is "ten million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 593 603 804 938 1186 1206 1407 1779 1876 2372 2412 2814 3558 4151 4221 5337 5628 7116 8302 8442 10674 12453 16604 16884 21348 24906 37359 39731 49812 74718 79462 119193 149436 158924 238386 278117 357579 476772 556234 715158 834351 1112468 1430316 1668702 2503053 3337404 5006106 10012212