[go: up one dir, main page]

Search a number
-
+
230352045 = 3571153271
BaseRepresentation
bin11011011101011…
…10010010101101
3121001110002121020
431232232102231
5432432231140
634505124353
75464650210
oct1556562255
9531402536
10230352045
111090339a0
12651896b9
13389535b1
1422843777
15153526d0
hexdbae4ad

230352045 has 96 divisors (see below), whose sum is σ = 474937344. Its totient is φ = 92601600.

The previous prime is 230351999. The next prime is 230352077. The reversal of 230352045 is 540253032.

It is not a de Polignac number, because 230352045 - 29 = 230351533 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3244360 + ... + 3244430.

It is an arithmetic number, because the mean of its divisors is an integer number (4947264).

Almost surely, 2230352045 is an apocalyptic number.

It is an amenable number.

230352045 is an abundant number, since it is smaller than the sum of its proper divisors (244585299).

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

230352045 is a wasteful number, since it uses less digits than its factorization.

230352045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 230352045 is about 15177.3530300906. The cubic root of 230352045 is about 613.0050101293.

The spelling of 230352045 in words is "two hundred thirty million, three hundred fifty-two thousand, forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 53 55 71 77 105 159 165 213 231 265 355 371 385 497 583 781 795 1065 1113 1155 1491 1749 1855 2343 2485 2809 2915 3763 3905 4081 5467 5565 7455 8427 8745 11289 11715 12243 14045 16401 18815 19663 20405 26341 27335 30899 41393 42135 56445 58989 61215 79023 82005 92697 98315 124179 131705 154495 199439 206965 216293 289751 294945 395115 463485 598317 620895 648879 869253 997195 1081465 1396073 1448755 2193829 2991585 3244395 4188219 4346265 6581487 6980365 10969145 15356803 20941095 32907435 46070409 76784015 230352045