Base | Representation |
---|---|
bin | 1100011000000011… |
… | …1011011000110100 |
3 | 22120112011210101200 |
4 | 3012000323120310 |
5 | 23300431211040 |
6 | 1305352452500 |
7 | 145216441044 |
oct | 30600733064 |
9 | 8515153350 |
10 | 3322132020 |
11 | 1455290a59 |
12 | 7886aa130 |
13 | 40c360cbc |
14 | 2372db724 |
15 | 1469c5630 |
hex | c603b634 |
3322132020 has 144 divisors (see below), whose sum is σ = 10446928128. Its totient is φ = 853966080.
The previous prime is 3322132001. The next prime is 3322132049. The reversal of 3322132020 is 202312233.
It is a happy number.
3322132020 is a `hidden beast` number, since 3 + 322 + 1 + 320 + 20 = 666.
It is a super-2 number, since 2×33221320202 = 22073122316618560800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 3322131984 and 3322132002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563890 + ... + 569750.
It is an arithmetic number, because the mean of its divisors is an integer number (72548112).
Almost surely, 23322132020 is an apocalyptic number.
3322132020 is a gapful number since it is divisible by the number (30) 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 3322132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223464064).
3322132020 is an abundant number, since it is smaller than the sum of its proper divisors (7124796108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3322132020 is a wasteful number, since it uses less digits than its factorization.
3322132020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5990 (or 5985 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 3322132020 is about 57637.9390679438. The cubic root of 3322132020 is about 1492.1264504567.
Adding to 3322132020 its reverse (202312233), we get a palindrome (3524444253).
The spelling of 3322132020 in words is "three billion, three hundred twenty-two million, one hundred thirty-two thousand, twenty".
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