| Base | Representation |
|---|---|
| bin | 11001001001100… |
| … | …11010111000100 |
| 3 | 112200222121010100 |
| 4 | 30210303113010 |
| 5 | 413002133043 |
| 6 | 32533524100 |
| 7 | 5141151660 |
| oct | 1444632704 |
| 9 | 480877110 |
| 10 | 210974148 |
| 11 | a90a9000 |
| 12 | 5a7a3630 |
| 13 | 3492a398 |
| 14 | 2003b8a0 |
| 15 | 137c5cd3 |
| hex | c9335c4 |
210974148 has 288 divisors, whose sum is σ = 729001728. Its totient is φ = 50181120.
The previous prime is 210974123. The next prime is 210974149. The reversal of 210974148 is 841479012.
210974148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2109741482 = 89020182248651808, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (210974149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5701986 + ... + 5702022.
It is an arithmetic number, because the mean of its divisors is an integer number (2531256).
Almost surely, 2210974148 is an apocalyptic number.
210974148 is a gapful number since it is divisible by the number (28) 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 210974148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500864).
210974148 is an abundant number, since it is smaller than the sum of its proper divisors (518027580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210974148 is a wasteful number, since it uses less digits than its factorization.
210974148 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The square root of 210974148 is about 14524.9491565375. The cubic root of 210974148 is about 595.3098666096.
The spelling of 210974148 in words is "two hundred ten million, nine hundred seventy-four thousand, one hundred forty-eight".
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