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BaseRepresentation
bin10111111100100…
…00000010000000
3111222222011001101
423332100002000
5402410233333
631533144144
74656230620
oct1376200200
9458864041
10200867968
11a3426094
125732b054
13327cc3b2
141c96a880
151297b67d
hexbf90080

200867968 has 128 divisors (see below), whose sum is σ = 481864320. Its totient is φ = 81616896.

The previous prime is 200867963. The next prime is 200867977. The reversal of 200867968 is 869768002.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (200867963) 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, 2420055 + ... + 2420137.

It is an arithmetic number, because the mean of its divisors is an integer number (3764565).

Almost surely, 2200867968 is an apocalyptic number.

200867968 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 200867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240932160).

200867968 is an abundant number, since it is smaller than the sum of its proper divisors (280996352).

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

200867968 is an equidigital number, since it uses as much as digits as its factorization.

200867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 200867968 is about 14172.7897042184. The cubic root of 200867968 is about 585.6483113815.

The spelling of 200867968 in words is "two hundred million, eight hundred sixty-seven thousand, nine hundred sixty-eight".