Search a number
-
+
211001058 = 233113151229
BaseRepresentation
bin11001001001110…
…01111011100010
3112201000222001000
430210321323202
5413004013213
632534252430
75141323302
oct1444717342
9481028030
10211001058
11a9117244
125a7b7116
13349396c8
1420047602
15137cdc73
hexc939ee2

211001058 has 64 divisors (see below), whose sum is σ = 478252800. Its totient is φ = 68947200.

The previous prime is 211001053. The next prime is 211001081. The reversal of 211001058 is 850100112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 211001058.

It is not an unprimeable number, because it can be changed into a prime (211001053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921288 + ... + 921516.

It is an arithmetic number, because the mean of its divisors is an integer number (7472700).

Almost surely, 2211001058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211001058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239126400).

211001058 is an abundant number, since it is smaller than the sum of its proper divisors (267251742).

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

211001058 is a wasteful number, since it uses less digits than its factorization.

211001058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 211001058 is about 14525.8754641502. The cubic root of 211001058 is about 595.3351763574.

The spelling of 211001058 in words is "two hundred eleven million, one thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 113 151 226 229 302 339 453 458 678 687 906 1017 1359 1374 2034 2061 2718 3051 4077 4122 6102 6183 8154 12366 17063 25877 34126 34579 51189 51754 69158 77631 102378 103737 153567 155262 207474 232893 307134 311211 460701 465786 622422 698679 921402 933633 1397358 1867266 3907427 7814854 11722281 23444562 35166843 70333686 105500529 211001058