Base | Representation |
---|---|
bin | 1000010111011110100000 |
3 | 11010102122210 |
4 | 20113132200 |
5 | 1030141222 |
6 | 115002120 |
7 | 24433332 |
oct | 10273640 |
9 | 4112583 |
10 | 2193312 |
11 | 1268960 |
12 | 899340 |
13 | 5ba424 |
14 | 411452 |
15 | 2d4d0c |
hex | 2177a0 |
2193312 has 96 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 633600.
The previous prime is 2193311. The next prime is 2193313. The reversal of 2193312 is 2133912.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2193311) and next prime (2193313).
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (2193311) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32703 + ... + 32769.
It is an arithmetic number, because the mean of its divisors is an integer number (68544).
22193312 is an apocalyptic number.
2193312 is a gapful number since it is divisible by the number (22) 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 2193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112).
2193312 is an abundant number, since it is smaller than the sum of its proper divisors (4386912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2193312 is a wasteful number, since it uses less digits than its factorization.
2193312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 114 counting only the distinct ones).
The product of its digits is 324, while the sum is 21.
The square root of 2193312 is about 1480.9834570312. The cubic root of 2193312 is about 129.9272176420.
It can be divided in two parts, 21933 and 12, that added together give a triangular number (21945 = T209).
The spelling of 2193312 in words is "two million, one hundred ninety-three thousand, three hundred twelve".
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