Search a number
-
+
216716071 = 11131931283
BaseRepresentation
bin11001110101011…
…01001100100111
3120002210022120011
430322231030213
5420434403241
633300551051
75241025165
oct1472551447
9502708504
10216716071
1110136aaa0
12606b2487
1335b8aa80
1420ad4235
151405c281
hexcead327

216716071 has 48 divisors (see below), whose sum is σ = 280264320. Its totient is φ = 164721600.

The previous prime is 216716063. The next prime is 216716081. The reversal of 216716071 is 170617612.

It is not a de Polignac number, because 216716071 - 23 = 216716063 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216716081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2610996 + ... + 2611078.

It is an arithmetic number, because the mean of its divisors is an integer number (5838840).

Almost surely, 2216716071 is an apocalyptic number.

216716071 is a deficient number, since it is larger than the sum of its proper divisors (63548249).

216716071 is a wasteful number, since it uses less digits than its factorization.

216716071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 216716071 is about 14721.2795299865. The cubic root of 216716071 is about 600.6622973717.

The spelling of 216716071 in words is "two hundred sixteen million, seven hundred sixteen thousand, seventy-one".

Divisors: 1 11 13 19 31 83 143 209 247 341 403 589 913 961 1079 1577 2573 2717 4433 6479 7657 10571 11869 12493 17347 18259 20501 28303 33449 48887 79763 84227 137423 200849 225511 237367 367939 537757 635531 877393 1036919 1515497 2611037 6990841 11406109 16670467 19701461 216716071