Base | Representation |
---|---|
bin | 100000100101101011111… |
… | …000110000000000000000 |
3 | 21221002111202202210000000 |
4 | 200211223320300000000 |
5 | 243142432412000000 |
6 | 4432450120000000 |
7 | 320540412626346 |
oct | 40455370600000 |
9 | 7832452683000 |
10 | 2239488000000 |
11 | 793841657929 |
12 | 302040000000 |
13 | 13324b83ba04 |
14 | 7a56b141996 |
15 | 3d3c3000000 |
hex | 2096be30000 |
2239488000000 has 952 divisors, whose sum is σ = 8396628459280. Its totient is φ = 597196800000.
The previous prime is 2239487999977. The next prime is 2239488000041. The reversal of 2239488000000 is 8849322.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a super-5 number, since 5×22394880000005 (a number of 63 digits) contains 55555 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 447897599998 + ... + 447897600002.
Almost surely, 22239488000000 is an apocalyptic number.
2239488000000 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 2239488000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198314229640).
2239488000000 is an abundant number, since it is smaller than the sum of its proper divisors (6157140459280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2239488000000 is an frugal number, since it uses more digits than its factorization.
2239488000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
Multiplying 2239488000000 by its sum of digits (36), we get a cube (80621568000000 = 432003).
2239488000000 divided by its product of nonzero digits (27648) gives a square (81000000 = 90002).
The spelling of 2239488000000 in words is "two trillion, two hundred thirty-nine billion, four hundred eighty-eight million", and thus it is an aban number.
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