| Base | Representation |
|---|---|
| bin | 1000001101000101… |
| … | …1111010100000000 |
| 3 | 12200111012111211101 |
| 4 | 2003101133110000 |
| 5 | 14002303300000 |
| 6 | 1002313024144 |
| 7 | 105402043153 |
| oct | 20321372400 |
| 9 | 5614174741 |
| 10 | 2202400000 |
| 11 | a30219799 |
| 12 | 5156b5054 |
| 13 | 291391b88 |
| 14 | 16c703c9a |
| 15 | cd542e6a |
| hex | 8345f500 |
2202400000 has 108 divisors (see below), whose sum is σ = 5496890364. Its totient is φ = 880640000.
The previous prime is 2202399989. The next prime is 2202400003. The reversal of 2202400000 is 42022.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 1311019264 + 891380736 = 36208^2 + 29856^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a self number, because there is not a number n which added to its sum of digits gives 2202400000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2202400003) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798624 + ... + 801376.
It is an arithmetic number, because the mean of its divisors is an integer number (50897133).
Almost surely, 22202400000 is an apocalyptic number.
2202400000 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 2202400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748445182).
2202400000 is an abundant number, since it is smaller than the sum of its proper divisors (3294490364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2202400000 is an frugal number, since it uses more digits than its factorization.
2202400000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2794 (or 2760 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 10.
The square root of 2202400000 is about 46929.7347105223. The cubic root of 2202400000 is about 1301.0642173208.
Adding to 2202400000 its reverse (42022), we get a palindrome (2202442022).
The spelling of 2202400000 in words is "two billion, two hundred two million, four hundred thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.067 sec. • engine limits •