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208252116 = 22325784781
BaseRepresentation
bin11000110100110…
…10110011010100
3112111212022012100
430122122303110
5411303031431
632355322100
75106054012
oct1432326324
9474768170
10208252116
11a7609996
12598b0330
13341b6407
141d92d8b2
15134394e6
hexc69acd4

208252116 has 18 divisors (see below), whose sum is σ = 526415162. Its totient is φ = 69417360.

The previous prime is 208252111. The next prime is 208252117. The reversal of 208252116 is 611252802.

It is a happy number.

208252116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 150552900 + 57699216 = 12270^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 208252116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208252111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2892355 + ... + 2892426.

Almost surely, 2208252116 is an apocalyptic number.

It is an amenable number.

208252116 is an abundant number, since it is smaller than the sum of its proper divisors (318163046).

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

208252116 is a wasteful number, since it uses less digits than its factorization.

208252116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784791 (or 5784786 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 208252116 is about 14430.9430045302. The cubic root of 208252116 is about 592.7385056985.

The spelling of 208252116 in words is "two hundred eight million, two hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 5784781 11569562 17354343 23139124 34708686 52063029 69417372 104126058 208252116