Search a number
-
+
896226240 = 263571310259
BaseRepresentation
bin110101011010110…
…101001111000000
32022110102000021110
4311122311033000
53313413214430
6224533123320
731131540330
oct6532651700
92273360243
10896226240
1141a995048
12210189540
131138a4ab0
14870570c0
1553a337b0
hex356b53c0

896226240 has 224 divisors, whose sum is σ = 3502517760. Its totient is φ = 189075456.

The previous prime is 896226193. The next prime is 896226241. The reversal of 896226240 is 42622698.

896226240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896226241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82231 + ... + 92489.

It is an arithmetic number, because the mean of its divisors is an integer number (15636240).

Almost surely, 2896226240 is an apocalyptic number.

896226240 is a gapful number since it is divisible by the number (80) 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 896226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751258880).

896226240 is an abundant number, since it is smaller than the sum of its proper divisors (2606291520).

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

896226240 is a wasteful number, since it uses less digits than its factorization.

896226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 896226240 is about 29937.0379296282. The cubic root of 896226240 is about 964.1380402979.

The spelling of 896226240 in words is "eight hundred ninety-six million, two hundred twenty-six thousand, two hundred forty".