Base | Representation |
---|---|
bin | 100000011111000110110… |
… | …010101011010100000000 |
3 | 21220102021102002202022202 |
4 | 200133012302223110000 |
5 | 243034000314400000 |
6 | 4425321104452332 |
7 | 320200346051660 |
oct | 40370662532400 |
9 | 7812242082282 |
10 | 2232423200000 |
11 | 790846774044 |
12 | 3007aa01a0a8 |
13 | 132693c98096 |
14 | 7a09ab581a0 |
15 | 3d10cb85dd5 |
hex | 207c6cab500 |
2232423200000 has 432 divisors, whose sum is σ = 6430140194688. Its totient is φ = 757632000000.
The previous prime is 2232423199997. The next prime is 2232423200011. The reversal of 2232423200000 is 23242322.
It is a super-3 number, since 3×22324232000003 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565598027 + ... + 565601973.
It is an arithmetic number, because the mean of its divisors is an integer number (14884583784).
Almost surely, 22232423200000 is an apocalyptic number.
2232423200000 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 2232423200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215070097344).
2232423200000 is an abundant number, since it is smaller than the sum of its proper divisors (4197716994688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232423200000 is an frugal number, since it uses more digits than its factorization.
2232423200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4096 (or 4062 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 20.
Adding to 2232423200000 its reverse (23242322), we get a palindrome (2232446442322).
The spelling of 2232423200000 in words is "two trillion, two hundred thirty-two billion, four hundred twenty-three million, two hundred thousand".
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