Search a number
-
+
238384222155 = 33537596712073
BaseRepresentation
bin1101111000000011001…
…1101000111111001011
3211210022101222012111000
43132000303220333023
512401202330102110
6301302345110043
723136245312142
oct3360063507713
9753271865430
10238384222155
1192109751452
123a24a488323
1319630703271
14b775c4c759
1563031921c0
hex3780ce8fcb

238384222155 has 128 divisors (see below), whose sum is σ = 449268710400. Its totient is φ = 119780508672.

The previous prime is 238384222147. The next prime is 238384222159. The reversal of 238384222155 is 551222483832.

238384222155 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 8 + 422 + 215 + 5 = 666.

It is not a de Polignac number, because 238384222155 - 23 = 238384222147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 238384222155.

It is not an unprimeable number, because it can be changed into a prime (238384222159) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19739199 + ... + 19751271.

It is an arithmetic number, because the mean of its divisors is an integer number (3509911800).

Almost surely, 2238384222155 is an apocalyptic number.

238384222155 is a deficient number, since it is larger than the sum of its proper divisors (210884488245).

238384222155 is a wasteful number, since it uses less digits than its factorization.

238384222155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12250 (or 12244 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 238384222155 in words is "two hundred thirty-eight billion, three hundred eighty-four million, two hundred twenty-two thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 27 37 45 59 67 111 135 177 185 201 295 333 335 531 555 603 885 999 1005 1593 1665 1809 2183 2479 2655 3015 3953 4995 6549 7437 7965 9045 10915 11859 12073 12395 19647 19765 22311 32745 35577 36219 37185 58941 59295 60365 66933 98235 106731 108657 111555 146261 177885 181095 294705 325971 334665 438783 446701 533655 543285 712307 731305 808891 1316349 1340103 1629855 2136921 2193915 2233505 2426673 3561535 3949047 4020309 4044455 6410763 6581745 6700515 7280019 10684605 12060927 12133365 19232289 19745235 20101545 21840057 26355359 29928967 32053815 36400095 47724569 60304635 79066077 89786901 96161445 109200285 131776795 143173707 149644835 237198231 238622845 269360703 395330385 429521121 448934505 711594693 715868535 808082109 1185991155 1288563363 1346803515 1765809053 2147605605 3557973465 4040410545 5297427159 6442816815 8829045265 15892281477 26487135795 47676844431 79461407385 238384222155