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213202332224 = 2671672849689
BaseRepresentation
bin1100011010001111011…
…0010110101001000000
3202101022102210122120222
43012203312112221000
511443114244112344
6241535505522212
721255231631340
oct3064366265100
9671272718528
10213202332224
1182467181872
12353a1043368
13171495b388b
14a467678d20
15582c5415ee
hex31a3d96a40

213202332224 has 56 divisors (see below), whose sum is σ = 486407886720. Its totient is φ = 90825255936.

The previous prime is 213202332199. The next prime is 213202332229. The reversal of 213202332224 is 422233202312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 213202332193 and 213202332202.

It is not an unprimeable number, because it can be changed into a prime (213202332229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1350029 + ... + 1499660.

It is an arithmetic number, because the mean of its divisors is an integer number (8685855120).

Almost surely, 2213202332224 is an apocalyptic number.

It is an amenable number.

213202332224 is an abundant number, since it is smaller than the sum of its proper divisors (273205554496).

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

213202332224 is a wasteful number, since it uses less digits than its factorization.

213202332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849875 (or 2849865 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 213202332224 its reverse (422233202312), we get a palindrome (635435534536).

The spelling of 213202332224 in words is "two hundred thirteen billion, two hundred two million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 224 334 448 668 1169 1336 2338 2672 4676 5344 9352 10688 18704 37408 74816 2849689 5699378 11398756 19947823 22797512 39895646 45595024 79791292 91190048 159582584 182380096 319165168 475898063 638330336 951796126 1276660672 1903592252 3331286441 3807184504 6662572882 7614369008 13325145764 15228738016 26650291528 30457476032 53300583056 106601166112 213202332224