| Base | Representation |
|---|---|
| bin | 1001000110010000… |
| … | …1000000000000000 |
| 3 | 20022012100220022200 |
| 4 | 2101210020000000 |
| 5 | 20000143310042 |
| 6 | 1042200033200 |
| 7 | 114343033200 |
| oct | 22144100000 |
| 9 | 6265326280 |
| 10 | 2442166272 |
| 11 | 10435a2737 |
| 12 | 581a62800 |
| 13 | 2cbc60500 |
| 14 | 1924b8400 |
| 15 | e4604c4c |
| hex | 91908000 |
2442166272 has 432 divisors, whose sum is σ = 8886742605. Its totient is φ = 644087808.
The previous prime is 2442166261. The next prime is 2442166313. The reversal of 2442166272 is 2726612442.
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.
2442166272 is a `hidden beast` number, since 2 + 4 + 4 + 21 + 6 + 627 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2088124416 + 354041856 = 45696^2 + 18816^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=34944.
It is a super-2 number, since 2×24421662722 = 11928352200188755968, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187858938 + ... + 187858950.
Almost surely, 22442166272 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 2442166272
2442166272 is an abundant number, since it is smaller than the sum of its proper divisors (6444576333).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2442166272 is an equidigital number, since it uses as much as digits as its factorization.
2442166272 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76 (or 25 counting only the distinct ones).
The product of its digits is 64512, while the sum is 36.
The square root of 2442166272 is about 49418.2787235654. The cubic root of 2442166272 is about 1346.6613930890.
The spelling of 2442166272 in words is "two billion, four hundred forty-two million, one hundred sixty-six thousand, two hundred seventy-two".
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