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8235201 = 313237439
BaseRepresentation
bin11111011010100011000001
3120111101120110
4133122203001
54102011301
6452301533
7126666222
oct37324301
916441513
108235201
114715257
1229118a9
131924500
141145249
15aca0d6
hex7da8c1

8235201 has 24 divisors (see below), whose sum is σ = 12239040. Its totient is φ = 4919616.

The previous prime is 8235187. The next prime is 8235209. The reversal of 8235201 is 1025328.

8235201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8235201 - 211 = 8233153 is a prime.

8235201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8235209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18540 + ... + 18978.

It is an arithmetic number, because the mean of its divisors is an integer number (509960).

Almost surely, 28235201 is an apocalyptic number.

It is an amenable number.

8235201 is a deficient number, since it is larger than the sum of its proper divisors (4003839).

8235201 is a wasteful number, since it uses less digits than its factorization.

8235201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8235201 is about 2869.7039917037. The cubic root of 8235201 is about 201.9411078851.

The spelling of 8235201 in words is "eight million, two hundred thirty-five thousand, two hundred one".

Divisors: 1 3 13 37 39 111 169 439 481 507 1317 1443 5707 6253 16243 17121 18759 48729 74191 211159 222573 633477 2745067 8235201