Search a number
-
+
211478058 = 232111576803
BaseRepresentation
bin11001001101011…
…10011000101010
3112201221012100200
430212232120222
5413114244213
632552413030
75145351051
oct1446563052
9481835320
10211478058
11a9412660
125a9a7176
1334a7585c
142012d398
1513875273
hexc9ae62a

211478058 has 48 divisors (see below), whose sum is σ = 503114976. Its totient is φ = 63666720.

The previous prime is 211478027. The next prime is 211478087. The reversal of 211478058 is 850874112.

211478058 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2114780583 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27685 + ... + 34487.

It is an arithmetic number, because the mean of its divisors is an integer number (10481562).

Almost surely, 2211478058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211478058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251557488).

211478058 is an abundant number, since it is smaller than the sum of its proper divisors (291636918).

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

211478058 is a wasteful number, since it uses less digits than its factorization.

211478058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 211478058 is about 14542.2851711827. The cubic root of 211478058 is about 595.7834539801.

The spelling of 211478058 in words is "two hundred eleven million, four hundred seventy-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 1413 1727 2826 3454 5181 6803 10362 13606 15543 20409 31086 40818 61227 74833 122454 149666 224499 448998 673497 1068071 1346994 2136142 3204213 6408426 9612639 11748781 19225278 23497562 35246343 70492686 105739029 211478058