Search a number
-
+
242250454215 = 33571123304517
BaseRepresentation
bin1110000110011101000…
…0001001010011000111
3212011021211222010211000
43201213100021103013
512432112104013330
6303142135544343
723334122612550
oct3414720112307
9764254863730
10242250454215
119381307a860
123ab4922b0b3
1319ac86ba143
14ba21501327
15647c7e2560
hex38674094c7

242250454215 has 64 divisors (see below), whose sum is σ = 536936094720. Its totient is φ = 100675509120.

The previous prime is 242250454213. The next prime is 242250454297. The reversal of 242250454215 is 512454052242.

242250454215 is a `hidden beast` number, since 2 + 4 + 225 + 0 + 4 + 5 + 421 + 5 = 666.

It is not a de Polignac number, because 242250454215 - 21 = 242250454213 is a prime.

It is a super-2 number, since 2×2422504542152 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242250454215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242250454213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11641864 + ... + 11662653.

It is an arithmetic number, because the mean of its divisors is an integer number (8389626480).

Almost surely, 2242250454215 is an apocalyptic number.

242250454215 is an abundant number, since it is smaller than the sum of its proper divisors (294685640505).

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

242250454215 is a wasteful number, since it uses less digits than its factorization.

242250454215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23304549 (or 23304543 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 242250454215 in words is "two hundred forty-two billion, two hundred fifty million, four hundred fifty-four thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395 23304517 69913551 116522585 163131619 209740653 256349687 349567755 489394857 629221959 769049061 815658095 1048703265 1281748435 1468184571 1794447809 2307147183 2446974285 3146109795 3845245305 4404553713 5383343427 6921441549 7340922855 8972239045 11535735915 16150030281 22022768565 26916717135 34607207745 48450090843 80750151405 242250454215