Base | Representation |
---|---|
bin | 1000100001001010000000 |
3 | 11012110001020 |
4 | 20201022000 |
5 | 1032423320 |
6 | 115505440 |
7 | 24660042 |
oct | 10411200 |
9 | 4173036 |
10 | 2232960 |
11 | 1295724 |
12 | 8b8280 |
13 | 6024a2 |
14 | 421a92 |
15 | 2e1940 |
hex | 221280 |
2232960 has 64 divisors (see below), whose sum is σ = 7123680. Its totient is φ = 594944.
The previous prime is 2232959. The next prime is 2232991. The reversal of 2232960 is 692322.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×22329602 = 9972220723200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 2232960.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 1339 + ... + 2501.
22232960 is an apocalyptic number.
2232960 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 2232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561840).
2232960 is an abundant number, since it is smaller than the sum of its proper divisors (4890720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232960 is a wasteful number, since it uses less digits than its factorization.
2232960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
The square root of 2232960 is about 1494.3092049506. The cubic root of 2232960 is about 130.7054353008.
The spelling of 2232960 in words is "two million, two hundred thirty-two thousand, nine hundred sixty".
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