Search a number
-
+
214225656205 = 51141891517069
BaseRepresentation
bin1100011110000011011…
…0000001100110001101
3202110221202100220012011
43013200312001212031
512002213231444310
6242225223141221
721322466014231
oct3074066014615
9673852326164
10214225656205
1182941886270
12356278a4811
13172805c9122
14a5235385c1
15588c2cd78a
hex31e0d8198d

214225656205 has 64 divisors (see below), whose sum is σ = 292474022400. Its totient is φ = 149276160000.

The previous prime is 214225656191. The next prime is 214225656223. The reversal of 214225656205 is 502656522412.

It is not a de Polignac number, because 214225656205 - 211 = 214225654157 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 30301411 + ... + 30308479.

It is an arithmetic number, because the mean of its divisors is an integer number (4569906600).

Almost surely, 2214225656205 is an apocalyptic number.

It is an amenable number.

214225656205 is a deficient number, since it is larger than the sum of its proper divisors (78248366195).

214225656205 is a wasteful number, since it uses less digits than its factorization.

214225656205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366.

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 214225656205 in words is "two hundred fourteen billion, two hundred twenty-five million, six hundred fifty-six thousand, two hundred five".

Divisors: 1 5 11 41 55 89 151 205 445 451 755 979 1661 2255 3649 4895 6191 7069 8305 13439 18245 30955 35345 40139 67195 68101 77759 147829 200695 289829 340505 388795 550999 629141 739145 1067419 1449145 2754995 3145705 3188119 5337095 6060989 6920551 11741609 15940595 25794781 30304945 34602755 43764179 58708045 95000291 128973905 218820895 283742591 475001455 481405969 1045003201 1418712955 2407029845 3895011931 5225016005 19475059655 42845131241 214225656205