Base | Representation |
---|---|
bin | 10011110010100… |
… | …100000101010100 |
3 | 212010202110200211 |
4 | 103302210011110 |
5 | 1134444201400 |
6 | 52540215204 |
7 | 11141066314 |
oct | 2362440524 |
9 | 763673624 |
10 | 332022100 |
11 | 160466133 |
12 | 9323a504 |
13 | 53a302a7 |
14 | 3214b444 |
15 | 1e236dba |
hex | 13ca4154 |
332022100 has 72 divisors (see below), whose sum is σ = 754201728. Its totient is φ = 126739200.
The previous prime is 332022091. The next prime is 332022101. The reversal of 332022100 is 1220233.
It is a happy number.
332022100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3320221002 = 220477349776820000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (332022101) 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, 191839 + ... + 193561.
It is an arithmetic number, because the mean of its divisors is an integer number (10475024).
Almost surely, 2332022100 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 332022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377100864).
332022100 is an abundant number, since it is smaller than the sum of its proper divisors (422179628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332022100 is a wasteful number, since it uses less digits than its factorization.
332022100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1825 (or 1818 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 332022100 is about 18221.4735957331. The cubic root of 332022100 is about 692.4509212047.
Adding to 332022100 its reverse (1220233), we get a palindrome (333242333).
The spelling of 332022100 in words is "three hundred thirty-two million, twenty-two thousand, one hundred".
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