Base | Representation |
---|---|
bin | 11001001101011… |
… | …01011111000000 |
3 | 112201221000022000 |
4 | 30212231133000 |
5 | 413114134433 |
6 | 32552344000 |
7 | 5145334230 |
oct | 1446553700 |
9 | 481830260 |
10 | 211474368 |
11 | a940a906 |
12 | 5a9a5000 |
13 | 34a73c81 |
14 | 2012bcc0 |
15 | 13874113 |
hex | c9ad7c0 |
211474368 has 112 divisors (see below), whose sum is σ = 710549760. Its totient is φ = 60417792.
The previous prime is 211474363. The next prime is 211474369. The reversal of 211474368 is 863474112.
211474368 is a `hidden beast` number, since 211 + 4 + 7 + 436 + 8 = 666.
211474368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211474363) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3355 + ... + 20837.
Almost surely, 2211474368 is an apocalyptic number.
211474368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355274880).
211474368 is an abundant number, since it is smaller than the sum of its proper divisors (499075392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211474368 is a wasteful number, since it uses less digits than its factorization.
211474368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17511 (or 17495 counting only the distinct ones).
The product of its digits is 32256, while the sum is 36.
The square root of 211474368 is about 14542.1582992347. The cubic root of 211474368 is about 595.7799887605.
The spelling of 211474368 in words is "two hundred eleven million, four hundred seventy-four thousand, three hundred sixty-eight".
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