| Base | Representation |
|---|---|
| bin | 111111000011011… |
| … | …0101110010100000 |
| 3 | 12110110002211111220 |
| 4 | 1332012311302200 |
| 5 | 13313111104100 |
| 6 | 545535135040 |
| 7 | 103300225611 |
| oct | 17606656240 |
| 9 | 5413084456 |
| 10 | 2115722400 |
| 11 | 9962a7610 |
| 12 | 4b0674480 |
| 13 | 27943425c |
| 14 | 160dbdc08 |
| 15 | c5b20aa0 |
| hex | 7e1b5ca0 |
2115722400 has 144 divisors (see below), whose sum is σ = 7512831648. Its totient is φ = 512896000.
The previous prime is 2115722393. The next prime is 2115722407. The reversal of 2115722400 is 42275112.
2115722400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2115722393) and next prime (2115722407).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (2115722407) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13671 + ... + 66470.
It is an arithmetic number, because the mean of its divisors is an integer number (52172442).
Almost surely, 22115722400 is an apocalyptic number.
2115722400 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 2115722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756415824).
2115722400 is an abundant number, since it is smaller than the sum of its proper divisors (5397109248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2115722400 is a wasteful number, since it uses less digits than its factorization.
2115722400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80175 (or 80162 counting only the distinct ones).
The product of its (nonzero) digits is 1120, while the sum is 24.
The square root of 2115722400 is about 45996.9825097256. The cubic root of 2115722400 is about 1283.7670601588.
Adding to 2115722400 its reverse (42275112), we get a palindrome (2157997512).
The spelling of 2115722400 in words is "two billion, one hundred fifteen million, seven hundred twenty-two thousand, four hundred".
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