Search a number
-
+
211019985 = 3651119277
BaseRepresentation
bin11001001001111…
…10100011010001
3112201001221000000
430210332203101
5413010114420
632534520213
75141432421
oct1444764321
9481057000
10211019985
11a912a490
125a806069
13349451c7
1420050481
15137d4690
hexc93e8d1

211019985 has 112 divisors (see below), whose sum is σ = 437549760. Its totient is φ = 96577920.

The previous prime is 211019983. The next prime is 211019993. The reversal of 211019985 is 589910112.

211019985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211019985 - 21 = 211019983 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (211019983) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 761667 + ... + 761943.

Almost surely, 2211019985 is an apocalyptic number.

It is an amenable number.

211019985 is an abundant number, since it is smaller than the sum of its proper divisors (226529775).

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

211019985 is a wasteful number, since it uses less digits than its factorization.

211019985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 211019985 is about 14526.5269421152. The cubic root of 211019985 is about 595.3529765398.

The spelling of 211019985 in words is "two hundred eleven million, nineteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 81 95 99 135 165 171 209 243 277 285 297 405 495 513 627 729 831 855 891 1045 1215 1385 1485 1539 1881 2493 2565 2673 3047 3135 3645 4155 4455 4617 5263 5643 7479 7695 8019 9141 9405 12465 13365 13851 15235 15789 16929 22437 23085 26315 27423 28215 37395 40095 45705 47367 50787 57893 67311 69255 78945 82269 84645 112185 137115 142101 152361 173679 201933 236835 246807 253935 289465 336555 411345 426303 521037 710505 740421 761805 868395 1009665 1234035 1278909 1563111 2131515 2221263 2605185 3702105 3836727 4689333 6394545 7815555 11106315 14067999 19183635 23446665 42203997 70339995 211019985