Search a number
-
+
212010222168 = 233229310049783
BaseRepresentation
bin1100010101110011001…
…0110100001001011000
3202021020100122012000200
43011130302310021120
511433144104102133
6241221322502200
721213545103663
oct3053462641130
9667210565020
10212010222168
1181a05274948
1235109964960
1316cb9622704
14a3932006da
1557aca63913
hex315ccb4258

212010222168 has 48 divisors (see below), whose sum is σ = 576154116720. Its totient is φ = 70428872256.

The previous prime is 212010222167. The next prime is 212010222209. The reversal of 212010222168 is 861222010212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010222161) 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 11 ways as a sum of consecutive naturals, for example, 5003796 + ... + 5045987.

It is an arithmetic number, because the mean of its divisors is an integer number (12003210765).

Almost surely, 2212010222168 is an apocalyptic number.

It is an amenable number.

212010222168 is an abundant number, since it is smaller than the sum of its proper divisors (364143894552).

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

212010222168 is a wasteful number, since it uses less digits than its factorization.

212010222168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050088 (or 10050081 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 212010222168 in words is "two hundred twelve billion, ten million, two hundred twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 5274 7032 10548 21096 10049783 20099566 30149349 40199132 60298698 80398264 90448047 120597396 180896094 241194792 361792188 723584376 2944586419 5889172838 8833759257 11778345676 17667518514 23556691352 26501277771 35335037028 53002555542 70670074056 106005111084 212010222168