Base | Representation |
---|---|
bin | 1000100001001000001000 |
3 | 11012102212210 |
4 | 20201020020 |
5 | 1032422330 |
6 | 115505120 |
7 | 24656511 |
oct | 10411010 |
9 | 4172783 |
10 | 2232840 |
11 | 1295625 |
12 | 8b81a0 |
13 | 60240c |
14 | 421a08 |
15 | 2e18b0 |
hex | 221208 |
2232840 has 64 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 568832.
The previous prime is 2232833. The next prime is 2232847. The reversal of 2232840 is 482322.
It is an interprime number because it is at equal distance from previous prime (2232833) and next prime (2232847).
It is a super-3 number, since 3×22328403 = 33395970269310912000, which contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (2232847) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2356 + ... + 3164.
It is an arithmetic number, because the mean of its divisors is an integer number (109350).
22232840 is an apocalyptic number.
2232840 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 2232840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).
2232840 is an abundant number, since it is smaller than the sum of its proper divisors (4765560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232840 is a wasteful number, since it uses less digits than its factorization.
2232840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 846 (or 842 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 2232840 is about 1494.2690520786. The cubic root of 2232840 is about 130.7030938746.
The spelling of 2232840 in words is "two million, two hundred thirty-two thousand, eight hundred forty".
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