Base | Representation |
---|---|
bin | 1000111100011100… |
… | …1011000001000000 |
3 | 20012022221120000100 |
4 | 2033013023001000 |
5 | 14404130201031 |
6 | 1034130122400 |
7 | 113333231121 |
oct | 21707130100 |
9 | 6168846010 |
10 | 2401022016 |
11 | 1022350418 |
12 | 570120400 |
13 | 2c3585bb3 |
14 | 18ac48048 |
15 | e0bc8de6 |
hex | 8f1cb040 |
2401022016 has 84 divisors (see below), whose sum is σ = 6894576000. Its totient is φ = 798889728.
The previous prime is 2401022009. The next prime is 2401022023. The reversal of 2401022016 is 6102201042.
It is an interprime number because it is at equal distance from previous prime (2401022009) and next prime (2401022023).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 2401022016.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341545 + ... + 348503.
Almost surely, 22401022016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2401022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447288000).
2401022016 is an abundant number, since it is smaller than the sum of its proper divisors (4493553984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2401022016 is a wasteful number, since it uses less digits than its factorization.
2401022016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7576 (or 7563 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2401022016 is about 49000.2246525462. The cubic root of 2401022016 is about 1339.0559207457.
Adding to 2401022016 its reverse (6102201042), we get a palindrome (8503223058).
The spelling of 2401022016 in words is "two billion, four hundred one million, twenty-two thousand, sixteen".
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