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242333220330 = 23253496177017
BaseRepresentation
bin1110000110110000101…
…1110111110111101010
3212011111121201002120200
43201230023313313222
512432244301022310
6303154253533030
723336146246305
oct3415413676752
9764447632520
10242333220330
1193855870203
123ab70aa4176
1319b0c8a8586
14ba2c4c7b3c
156484be09c0
hex386c2f7dea

242333220330 has 48 divisors (see below), whose sum is σ = 630092575944. Its totient is φ = 64619504640.

The previous prime is 242333220317. The next prime is 242333220331. The reversal of 242333220330 is 33022333242.

242333220330 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 322 + 0 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230264659881 + 12068560449 = 479859^2 + 109857^2 .

It is a super-3 number, since 3×2423332203303 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242333220294 and 242333220303.

It is not an unprimeable number, because it can be changed into a prime (242333220331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3107982 + ... + 3184998.

Almost surely, 2242333220330 is an apocalyptic number.

242333220330 is an abundant number, since it is smaller than the sum of its proper divisors (387759355614).

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

242333220330 is a wasteful number, since it uses less digits than its factorization.

242333220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111991 (or 111988 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 242333220330 its reverse (33022333242), we get a palindrome (275355553572).

The spelling of 242333220330 in words is "two hundred forty-two billion, three hundred thirty-three million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 34961 69922 77017 104883 154034 174805 209766 231051 314649 349610 385085 462102 524415 629298 693153 770170 1048830 1155255 1386306 1573245 2310510 3146490 3465765 6931530 2692591337 5385182674 8077774011 13462956685 16155548022 24233322033 26925913370 40388870055 48466644066 80777740110 121166610165 242333220330