Base | Representation |
---|---|
bin | 11001011010110… |
… | …10100100010000 |
3 | 112212020022011100 |
4 | 30231122210100 |
5 | 414041410023 |
6 | 33054144400 |
7 | 5166304212 |
oct | 1455324420 |
9 | 485208140 |
10 | 213231888 |
11 | aa400301 |
12 | 5b4b2100 |
13 | 3523ac1c |
14 | 204685b2 |
15 | 13abec43 |
hex | cb5a910 |
213231888 has 120 divisors (see below), whose sum is σ = 633142016. Its totient is φ = 66873600.
The previous prime is 213231881. The next prime is 213231911. The reversal of 213231888 is 888132312.
213231888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 not an unprimeable number, because it can be changed into a prime (213231881) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164523 + ... + 165813.
Almost surely, 2213231888 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213231888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316571008).
213231888 is an abundant number, since it is smaller than the sum of its proper divisors (419910128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213231888 is a wasteful number, since it uses less digits than its factorization.
213231888 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 213231888 is about 14602.4617102734. The cubic root of 213231888 is about 597.4259058580.
The spelling of 213231888 in words is "two hundred thirteen million, two hundred thirty-one thousand, eight hundred eighty-eight".
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