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230012203221 = 32313759377653
BaseRepresentation
bin1101011000110111001…
…0111011000011010101
3210222200221112120112200
43112031302323003111
512232031111000341
6253355515435113
722421626316523
oct3261562730325
9728627476480
10230012203221
118960298a739
12386b2755a99
13188c80978c8
14b1bddc5313
155eb31addb6
hex358dcbb0d5

230012203221 has 48 divisors (see below), whose sum is σ = 358197265920. Its totient is φ = 141936727680.

The previous prime is 230012203177. The next prime is 230012203259. The reversal of 230012203221 is 122302210032.

230012203221 is a `hidden beast` number, since 230 + 0 + 12 + 203 + 221 = 666.

It is not a de Polignac number, because 230012203221 - 229 = 229475332309 is a prime.

It is a super-2 number, since 2×2300122032212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230012203194 and 230012203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230012208221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420231 + ... + 797883.

It is an arithmetic number, because the mean of its divisors is an integer number (7462443040).

Almost surely, 2230012203221 is an apocalyptic number.

It is an amenable number.

230012203221 is a deficient number, since it is larger than the sum of its proper divisors (128185062699).

230012203221 is a wasteful number, since it uses less digits than its factorization.

230012203221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377786 (or 377783 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230012203221 its reverse (122302210032), we get a palindrome (352314413253).

It can be divided in two parts, 23001 and 2203221, that added together give a palindrome (2226222).

The spelling of 230012203221 in words is "two hundred thirty billion, twelve million, two hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 31 37 59 93 111 177 279 333 531 1147 1829 2183 3441 5487 6549 10323 16461 19647 67673 203019 377653 609057 1132959 3398877 11707243 13973161 22281527 35121729 41919483 66844581 105365187 125758449 200533743 433167991 690727337 824416499 1299503973 2072182011 2473249497 3898511919 6216546033 7419748491 25556911469 76670734407 230012203221