| Base | Representation |
|---|---|
| bin | 1000011000111101… |
| … | …1011110101100000 |
| 3 | 12210221220021011000 |
| 4 | 2012033123311200 |
| 5 | 14103030134440 |
| 6 | 1011252152000 |
| 7 | 106545216462 |
| oct | 20617336540 |
| 9 | 5727807130 |
| 10 | 2252193120 |
| 11 | a56339031 |
| 12 | 52a308600 |
| 13 | 29b7a7068 |
| 14 | 175186132 |
| 15 | d2acb730 |
| hex | 863dbd60 |
2252193120 has 384 divisors, whose sum is σ = 8665574400. Its totient is φ = 543780864.
The previous prime is 2252193113. The next prime is 2252193127. The reversal of 2252193120 is 213912522.
It is a happy number.
2252193120 is digitally balanced in base 2 and base 4, because in such bases 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 (2252193113) and next prime (2252193127).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2252193127) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887244 + ... + 1888436.
It is an arithmetic number, because the mean of its divisors is an integer number (22566600).
Almost surely, 22252193120 is an apocalyptic number.
2252193120 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 2252193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332787200).
2252193120 is an abundant number, since it is smaller than the sum of its proper divisors (6413381280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2252193120 is a wasteful number, since it uses less digits than its factorization.
2252193120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 2252193120 is about 47457.2767866004. The cubic root of 2252193120 is about 1310.7963070262.
The spelling of 2252193120 in words is "two billion, two hundred fifty-two million, one hundred ninety-three thousand, one hundred twenty".
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