Base | Representation |
---|---|
bin | 100110100011… |
… | …1001010100000 |
3 | 1102000222222200 |
4 | 1031013022200 |
5 | 20133330212 |
6 | 2001133200 |
7 | 333551130 |
oct | 115071240 |
9 | 42028880 |
10 | 20214432 |
11 | 10457447 |
12 | 692a200 |
13 | 4259c04 |
14 | 2982ac0 |
15 | 1b946dc |
hex | 13472a0 |
20214432 has 144 divisors (see below), whose sum is σ = 67721472. Its totient is φ = 5598720.
The previous prime is 20214427. The next prime is 20214437. The reversal of 20214432 is 23441202.
20214432 is a `hidden beast` number, since 20 + 214 + 432 = 666.
It is an interprime number because it is at equal distance from previous prime (20214427) and next prime (20214437).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×202144322 = 817246522165248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20214437) 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, 74457 + ... + 74727.
It is an arithmetic number, because the mean of its divisors is an integer number (470288).
Almost surely, 220214432 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 20214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860736).
20214432 is an abundant number, since it is smaller than the sum of its proper divisors (47507040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20214432 is a wasteful number, since it uses less digits than its factorization.
20214432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 331 (or 320 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 20214432 is about 4496.0462631072. The cubic root of 20214432 is about 272.4084118318.
Adding to 20214432 its reverse (23441202), we get a palindrome (43655634).
The spelling of 20214432 in words is "twenty million, two hundred fourteen thousand, four hundred thirty-two".
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