Search a number
-
+
211449540 = 22353524159
BaseRepresentation
bin11001001101001…
…11011011000100
3112201212202020110
430212213123010
5413112341130
632552033020
75145201651
oct1446473304
9481782213
10211449540
11a93a3195
125a992770
1334a65893
1420122c28
151386bab0
hexc9a76c4

211449540 has 24 divisors (see below), whose sum is σ = 592058880. Its totient is φ = 56386528.

The previous prime is 211449523. The next prime is 211449547. The reversal of 211449540 is 45944112.

211449540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2114495403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211449498 and 211449507.

It is not an unprimeable number, because it can be changed into a prime (211449547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1762020 + ... + 1762139.

It is an arithmetic number, because the mean of its divisors is an integer number (24669120).

Almost surely, 2211449540 is an apocalyptic number.

211449540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211449540 is an abundant number, since it is smaller than the sum of its proper divisors (380609340).

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

211449540 is a wasteful number, since it uses less digits than its factorization.

211449540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524171 (or 3524169 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 211449540 is about 14541.3046182246. The cubic root of 211449540 is about 595.7566721372.

The spelling of 211449540 in words is "two hundred eleven million, four hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3524159 7048318 10572477 14096636 17620795 21144954 35241590 42289908 52862385 70483180 105724770 211449540