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212122022202 = 232192207281033
BaseRepresentation
bin1100010110001101110…
…1010011000100111010
3202021112011000012211200
43011203131103010322
511433411214202302
6241240355035030
721216403303416
oct3054335230472
9667464005750
10212122022202
1181a62395972
123513b29ba76
131700683818c
14a3a3dc3d46
1557b779981c
hex316375313a

212122022202 has 48 divisors (see below), whose sum is σ = 484007996160. Its totient is φ = 66955311936.

The previous prime is 212122022201. The next prime is 212122022207. The reversal of 212122022202 is 202220221212.

212122022202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212122022201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 614278 + ... + 895310.

It is an arithmetic number, because the mean of its divisors is an integer number (10083499920).

Almost surely, 2212122022202 is an apocalyptic number.

212122022202 is an abundant number, since it is smaller than the sum of its proper divisors (271885973958).

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

212122022202 is a wasteful number, since it uses less digits than its factorization.

212122022202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283267 (or 283264 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212122022202 its reverse (202220221212), we get a palindrome (414342243414).

The spelling of 212122022202 in words is "two hundred twelve billion, one hundred twenty-two million, twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 2207 4414 6621 13242 19863 39726 41933 83866 125799 251598 281033 377397 562066 754794 843099 1686198 2529297 5058594 5339627 10679254 16018881 32037762 48056643 96113286 620239831 1240479662 1860719493 3721438986 5582158479 11164316958 11784556789 23569113578 35353670367 70707340734 106061011101 212122022202