Base | Representation |
---|---|
bin | 11001010100001… |
… | …00000000000000 |
3 | 112210120122120211 |
4 | 30222010000000 |
5 | 413330244044 |
6 | 33023243504 |
7 | 5155654012 |
oct | 1452040000 |
9 | 483518524 |
10 | 212353024 |
11 | a995aa74 |
12 | 5b149594 |
13 | 34cc0ba0 |
14 | 202ba1b2 |
15 | 13999634 |
hex | ca84000 |
212353024 has 60 divisors (see below), whose sum is σ = 457820524. Its totient is φ = 97910784.
The previous prime is 212353013. The next prime is 212353039. The reversal of 212353024 is 420353212.
It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 104857600 = 10368^2 + 10240^2 .
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 212352986 and 212353004.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212494 + ... + 213490.
Almost surely, 2212353024 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 212353024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228910262).
212353024 is an abundant number, since it is smaller than the sum of its proper divisors (245467500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212353024 is an frugal number, since it uses more digits than its factorization.
212353024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1038 (or 1012 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 22.
The square root of 212353024 is about 14572.3376299069. The cubic root of 212353024 is about 596.6039851066.
The spelling of 212353024 in words is "two hundred twelve million, three hundred fifty-three thousand, twenty-four".
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