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212230202200 = 235210358717551
BaseRepresentation
bin1100010110100111100…
…1111110001101011000
3202021210200120022220021
43011221321332031120
511434121412432300
6241255221440224
721222155645122
oct3055171761530
9667720508807
10212230202200
1182008464125
123516b570074
1317023084003
14a3b4504212
1557c2017d1a
hex3169e7e358

212230202200 has 96 divisors (see below), whose sum is σ = 499103055360. Its totient is φ = 83919888000.

The previous prime is 212230202153. The next prime is 212230202201. The reversal of 212230202200 is 2202032212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212230202201) 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, 12083425 + ... + 12100975.

It is an arithmetic number, because the mean of its divisors is an integer number (5198990160).

Almost surely, 2212230202200 is an apocalyptic number.

212230202200 is a gapful number since it is divisible by the number (20) 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 212230202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249551527680).

212230202200 is an abundant number, since it is smaller than the sum of its proper divisors (286872853160).

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

212230202200 is a wasteful number, since it uses less digits than its factorization.

212230202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18257 (or 18248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 212230202200 its reverse (2202032212), we get a palindrome (214432234412).

The spelling of 212230202200 in words is "two hundred twelve billion, two hundred thirty million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 587 824 1030 1174 2060 2348 2575 2935 4120 4696 5150 5870 10300 11740 14675 17551 20600 23480 29350 35102 58700 60461 70204 87755 117400 120922 140408 175510 241844 302305 351020 438775 483688 604610 702040 877550 1209220 1511525 1755100 1807753 2418440 3023050 3510200 3615506 6046100 7231012 9038765 10302437 12092200 14462024 18077530 20604874 36155060 41209748 45193825 51512185 72310120 82419496 90387650 103024370 180775300 206048740 257560925 361550600 412097480 515121850 1030243700 1061151011 2060487400 2122302022 4244604044 5305755055 8489208088 10611510110 21223020220 26528775275 42446040440 53057550550 106115101100 212230202200