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201248 = 2519331
BaseRepresentation
bin110001001000100000
3101020001122
4301020200
522414443
64151412
71465505
oct611040
9336048
10201248
11128223
1298568
13707a8
14534ac
153e968
hex31220

201248 has 24 divisors (see below), whose sum is σ = 418320. Its totient is φ = 95040.

The previous prime is 201247. The next prime is 201251. The reversal of 201248 is 842102.

It is not an unprimeable number, because it can be changed into a prime (201247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (17430).

2201248 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 201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209160).

201248 is an abundant number, since it is smaller than the sum of its proper divisors (217072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201248 is a wasteful number, since it uses less digits than its factorization.

201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 201248 is about 448.6067320048. The cubic root of 201248 is about 58.6017417662.

The spelling of 201248 in words is "two hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 331 608 662 1324 2648 5296 6289 10592 12578 25156 50312 100624 201248