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212033230000 = 245426380621
BaseRepresentation
bin1100010101111000101…
…0100101010010110000
3202021021221221002211121
43011132022211102300
511433221001330000
6241223503552024
721214244501134
oct3053612452260
9667257832747
10212033230000
1181a17259a89
12351155bb614
1316cc1319c07
14a3962ad3c4
1557aeaaab1a
hex315e2a54b0

212033230000 has 100 divisors (see below), whose sum is σ = 515311959888. Its totient is φ = 84489760000.

The previous prime is 212033229979. The next prime is 212033230033. The reversal of 212033230000 is 32330212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2589690 + ... + 2670310.

Almost surely, 2212033230000 is an apocalyptic number.

212033230000 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 212033230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257655979944).

212033230000 is an abundant number, since it is smaller than the sum of its proper divisors (303278729888).

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

212033230000 is an equidigital number, since it uses as much as digits as its factorization.

212033230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80912 (or 80891 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 212033230000 its reverse (32330212), we get a palindrome (212065560212).

The spelling of 212033230000 in words is "two hundred twelve billion, thirty-three million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 263 400 500 526 625 1000 1052 1250 1315 2000 2104 2500 2630 4208 5000 5260 6575 10000 10520 13150 21040 26300 32875 52600 65750 80621 105200 131500 161242 164375 263000 322484 328750 403105 526000 644968 657500 806210 1289936 1315000 1612420 2015525 2630000 3224840 4031050 6449680 8062100 10077625 16124200 20155250 21203323 32248400 40310500 42406646 50388125 80621000 84813292 100776250 106016615 161242000 169626584 201552500 212033230 339253168 403105000 424066460 530083075 806210000 848132920 1060166150 1696265840 2120332300 2650415375 4240664600 5300830750 8481329200 10601661500 13252076875 21203323000 26504153750 42406646000 53008307500 106016615000 212033230000