Base | Representation |
---|---|
bin | 11001000010011… |
… | …01001010010000 |
3 | 112122012200201010 |
4 | 30201031022100 |
5 | 412231444443 |
6 | 32501410520 |
7 | 5130144000 |
oct | 1441151220 |
9 | 478180633 |
10 | 210031248 |
11 | a8614649 |
12 | 5a409a40 |
13 | 3468a15b |
14 | 1dc74000 |
15 | 1368b733 |
hex | c84d290 |
210031248 has 80 divisors (see below), whose sum is σ = 632796800. Its totient is φ = 60004224.
The previous prime is 210031247. The next prime is 210031249. The reversal of 210031248 is 842130012.
210031248 is digitally balanced in base 3, 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 (210031247) and next prime (210031249).
It is a super-2 number, since 2×2100312482 = 88226250272875008, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is not an unprimeable number, because it can be changed into a prime (210031247) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10086 + ... + 22842.
It is an arithmetic number, because the mean of its divisors is an integer number (7909960).
Almost surely, 2210031248 is an apocalyptic number.
210031248 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 210031248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316398400).
210031248 is an abundant number, since it is smaller than the sum of its proper divisors (422765552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210031248 is a wasteful number, since it uses less digits than its factorization.
210031248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12789 (or 12769 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 210031248 is about 14492.4548645148. The cubic root of 210031248 is about 594.4216756670.
The spelling of 210031248 in words is "two hundred ten million, thirty-one thousand, two hundred forty-eight".
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