Search a number
-
+
201712896 = 2833711379
BaseRepresentation
bin11000000010111…
…10010100000000
3112001120002002000
430001132110000
5403114303041
632003224000
74666350150
oct1401362400
9461502060
10201712896
11a3952980
1257678000
1332a36b58
141cb0a760
1512a96bb6
hexc05e500

201712896 has 288 divisors, whose sum is σ = 745651200. Its totient is φ = 52254720.

The previous prime is 201712867. The next prime is 201712913. The reversal of 201712896 is 698217102.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201712896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532035 + ... + 532413.

Almost surely, 2201712896 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 201712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372825600).

201712896 is an abundant number, since it is smaller than the sum of its proper divisors (543938304).

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

201712896 is a wasteful number, since it uses less digits than its factorization.

201712896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 201712896 is about 14202.5665286243. The cubic root of 201712896 is about 586.4683167846.

Adding to 201712896 its reverse (698217102), we get a palindrome (899929998).

The spelling of 201712896 in words is "two hundred one million, seven hundred twelve thousand, eight hundred ninety-six".