Base | Representation |
---|---|
bin | 111100010001011… |
… | …1110011010001000 |
3 | 12012221120022111021 |
4 | 1320202332122020 |
5 | 13120220400230 |
6 | 532403442224 |
7 | 101055260215 |
oct | 17042763210 |
9 | 5187508437 |
10 | 2022434440 |
11 | 94867aa24 |
12 | 485386374 |
13 | 263000890 |
14 | 152858b0c |
15 | bc844c7a |
hex | 788be688 |
2022434440 has 128 divisors (see below), whose sum is σ = 5070159360. Its totient is φ = 721327104.
The previous prime is 2022434431. The next prime is 2022434483. The reversal of 2022434440 is 444342202.
It is a super-2 number, since 2×20224344402 = 8180482128196227200, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028022 + ... + 2029018.
It is an arithmetic number, because the mean of its divisors is an integer number (39610620).
Almost surely, 22022434440 is an apocalyptic number.
2022434440 is a gapful number since it is divisible by the number (20) 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 2022434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535079680).
2022434440 is an abundant number, since it is smaller than the sum of its proper divisors (3047724920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022434440 is a wasteful number, since it uses less digits than its factorization.
2022434440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1151 (or 1147 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 25.
The square root of 2022434440 is about 44971.4847431125. The cubic root of 2022434440 is about 1264.6144815109.
Adding to 2022434440 its reverse (444342202), we get a palindrome (2466776642).
The spelling of 2022434440 in words is "two billion, twenty-two million, four hundred thirty-four thousand, four hundred forty".
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