Base | Representation |
---|---|
bin | 1000010101111011… |
… | …1110000000000000 |
3 | 12210001222210000000 |
4 | 2011132332000000 |
5 | 14041302104000 |
6 | 1010120000000 |
7 | 106332222351 |
oct | 20536760000 |
9 | 5701883000 |
10 | 2239488000 |
11 | a4a150532 |
12 | 526000000 |
13 | 298c79139 |
14 | 1735d9d28 |
15 | d191c000 |
hex | 857be000 |
2239488000 has 448 divisors, whose sum is σ = 8382853440. Its totient is φ = 597196800.
The previous prime is 2239487993. The next prime is 2239488001. The reversal of 2239488000 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 Jordan-Polya number, since it can be written as (6!)3 ⋅ 3!.
It is a super-5 number, since 5×22394880005 (a number of 48 digits) contains 55555 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2239488001) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447897598 + ... + 447897602.
Almost surely, 22239488000 is an apocalyptic number.
2239488000 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 2239488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191426720).
2239488000 is an abundant number, since it is smaller than the sum of its proper divisors (6143365440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2239488000 is an frugal number, since it uses more digits than its factorization.
2239488000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 2239488000 is about 47323.2289684464. The cubic root of 2239488000 is about 1308.3268268391.
Multiplying 2239488000 by its sum of digits (36), we get a cube (80621568000 = 43203).
The spelling of 2239488000 in words is "two billion, two hundred thirty-nine million, four hundred eighty-eight thousand".
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