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22000212 = 223213291621
BaseRepresentation
bin101001111101…
…1001001010100
31112101201121200
41103323021110
521113001322
62103312500
7354666363
oct123731124
945351550
1022000212
11114670a3
12744b730
1347339a0
142cc97da
151de88ac
hex14fb254

22000212 has 72 divisors (see below), whose sum is σ = 61992840. Its totient is φ = 6531840.

The previous prime is 22000211. The next prime is 22000243. The reversal of 22000212 is 21200022.

It can be written as a sum of positive squares in 4 ways, for example, as 2604996 + 19395216 = 1614^2 + 4404^2 .

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 = 22000194 and 22000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000211) 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 23 ways as a sum of consecutive naturals, for example, 12762 + ... + 14382.

Almost surely, 222000212 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 22000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996420).

22000212 is an abundant number, since it is smaller than the sum of its proper divisors (39992628).

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

22000212 is a wasteful number, since it uses less digits than its factorization.

22000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22000212 is about 4690.4383590449. The cubic root of 22000212 is about 280.2048331116.

Adding to 22000212 its reverse (21200022), we get a palindrome (43200234).

The spelling of 22000212 in words is "twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 1621 2262 3242 3393 4524 4863 6484 6786 9726 13572 14589 19452 21073 29178 42146 47009 58356 63219 84292 94018 126438 141027 188036 189657 252876 282054 379314 423081 564108 611117 758628 846162 1222234 1692324 1833351 2444468 3666702 5500053 7333404 11000106 22000212