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221323200412 = 222337938316573
BaseRepresentation
bin1100111000011111100…
…1000000011110011100
3210011021101122111110211
43032013321000132130
512111232214403122
6245401404142204
721663411110026
oct3160771003634
9704241574424
10221323200412
11859541a4286
1236a88837964
1317b41b95b22
14a9d8007016
155b55464877
hex3387e4079c

221323200412 has 48 divisors (see below), whose sum is σ = 406304317440. Its totient is φ = 105288942528.

The previous prime is 221323200391. The next prime is 221323200419. The reversal of 221323200412 is 214002323122.

221323200412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213232004122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221323200419) 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 15 ways as a sum of consecutive naturals, for example, 13346158 + ... + 13362730.

It is an arithmetic number, because the mean of its divisors is an integer number (8464673280).

Almost surely, 2221323200412 is an apocalyptic number.

It is an amenable number.

221323200412 is a deficient number, since it is larger than the sum of its proper divisors (184981117028).

221323200412 is a wasteful number, since it uses less digits than its factorization.

221323200412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17362 (or 17360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221323200412 its reverse (214002323122), we get a palindrome (435325523534).

The spelling of 221323200412 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred thousand, four hundred twelve".

Divisors: 1 2 4 23 46 92 379 383 758 766 1516 1532 8717 8809 16573 17434 17618 33146 34868 35236 66292 145157 290314 381179 580628 762358 1524716 3338611 6281167 6347459 6677222 12562334 12694918 13354444 25124668 25389836 144466841 145991557 288933682 291983114 577867364 583966228 2405686961 4811373922 9622747844 55330800103 110661600206 221323200412