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212233023204 = 2231923109371299
BaseRepresentation
bin1100010110101000010…
…0101110111011100100
3202021210212212122120220
43011222010232323210
511434123123220304
6241255402124340
721222221634456
oct3055204567344
9667725778526
10212233023204
118200a010634
12351704b06b0
1317023831047
14a3b4a3a2d6
1557c23c3ad9
hex316a12eee4

212233023204 has 96 divisors (see below), whose sum is σ = 548929920000. Its totient is φ = 63518691456.

The previous prime is 212233023173. The next prime is 212233023257. The reversal of 212233023204 is 402320332212.

212233023204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122330232042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385947 + ... + 757245.

It is an arithmetic number, because the mean of its divisors is an integer number (5718020000).

Almost surely, 2212233023204 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 212233023204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274464960000).

212233023204 is an abundant number, since it is smaller than the sum of its proper divisors (336696896796).

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

212233023204 is a wasteful number, since it uses less digits than its factorization.

212233023204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371457 (or 371455 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 212233023204 its reverse (402320332212), we get a palindrome (614553355416).

The spelling of 212233023204 in words is "two hundred twelve billion, two hundred thirty-three million, twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 109 114 138 218 228 276 327 436 437 654 874 1308 1311 1748 2071 2507 2622 4142 5014 5244 6213 7521 8284 10028 12426 15042 24852 30084 47633 95266 142899 190532 285798 371299 571596 742598 1113897 1485196 2227794 4455588 7054681 8539877 14109362 17079754 21164043 25619631 28218724 34159508 40471591 42328086 51239262 80943182 84656172 102478524 121414773 161886364 162257663 242829546 324515326 485659092 486772989 649030652 768960229 930846593 973545978 1537920458 1861693186 1947091956 2306880687 2792539779 3075840916 3723386372 4613761374 5585079558 9227522748 11170159116 17686085267 35372170534 53058255801 70744341068 106116511602 212233023204