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212201242420 = 22522946332149
BaseRepresentation
bin1100010110100000101…
…1011111111100110100
3202021201200002000112211
43011220023133330310
511434042004224140
6241252305023204
721221354541226
oct3055013377464
9667650060484
10212201242420
1181aa3084222
1235161924b04
131701a08464b
14a3b0726416
1557be6e72ea
hex31682dff34

212201242420 has 24 divisors (see below), whose sum is σ = 447568569000. Its totient is φ = 84509837952.

The previous prime is 212201242361. The next prime is 212201242423. The reversal of 212201242420 is 24242102212.

It can be written as a sum of positive squares in 4 ways, for example, as 102863884176 + 109337358244 = 320724^2 + 330662^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212201242391 and 212201242400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201242423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23161495 + ... + 23170654.

It is an arithmetic number, because the mean of its divisors is an integer number (18648690375).

Almost surely, 2212201242420 is an apocalyptic number.

212201242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201242420 is an abundant number, since it is smaller than the sum of its proper divisors (235367326580).

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

212201242420 is a wasteful number, since it uses less digits than its factorization.

212201242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46332387 (or 46332385 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 212201242420 its reverse (24242102212), we get a palindrome (236443344632).

The spelling of 212201242420 in words is "two hundred twelve billion, two hundred one million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 46332149 92664298 185328596 231660745 463321490 926642980 10610062121 21220124242 42440248484 53050310605 106100621210 212201242420