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210031248 = 2437312757
BaseRepresentation
bin11001000010011…
…01001010010000
3112122012200201010
430201031022100
5412231444443
632501410520
75130144000
oct1441151220
9478180633
10210031248
11a8614649
125a409a40
133468a15b
141dc74000
151368b733
hexc84d290

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".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 12757 16464 25514 38271 51028 76542 89299 102056 153084 178598 204112 267897 306168 357196 535794 612336 625093 714392 1071588 1250186 1428784 1875279 2143176 2500372 3750558 4286352 4375651 5000744 7501116 8751302 10001488 13126953 15002232 17502604 26253906 30004464 35005208 52507812 70010416 105015624 210031248