| Base | Representation |
|---|---|
| bin | 1000110000110100… |
| … | …0101010110000000 |
| 3 | 20001221011011200000 |
| 4 | 2030031011112000 |
| 5 | 14304133140000 |
| 6 | 1025224400000 |
| 7 | 112201465365 |
| oct | 21415052600 |
| 9 | 6057134600 |
| 10 | 2352240000 |
| 11 | aa7861800 |
| 12 | 557916000 |
| 13 | 2b6435cb6 |
| 14 | 18458a46c |
| 15 | db790000 |
| hex | 8c345580 |
2352240000 has 720 divisors, whose sum is σ = 9641491860. Its totient is φ = 570240000.
The previous prime is 2352239963. The next prime is 2352240001. The reversal of 2352240000 is 422532.
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 tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2352240001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 213839995 + ... + 213840005.
Almost surely, 22352240000 is an apocalyptic number.
2352240000 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 2352240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820745930).
2352240000 is an abundant number, since it is smaller than the sum of its proper divisors (7289251860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2352240000 is an frugal number, since it uses more digits than its factorization.
2352240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 2352240000 is about 48499.8969071069. The cubic root of 2352240000 is about 1329.9251847037.
Adding to 2352240000 its reverse (422532), we get a palindrome (2352662532).
The spelling of 2352240000 in words is "two billion, three hundred fifty-two million, two hundred forty thousand".
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