Search a number
-
+
778228866 = 232199723459
BaseRepresentation
bin101110011000101…
…101010010000010
32000020101010022100
4232120231102002
53043211310431
6205120051230
725166556552
oct5630552202
92006333270
10778228866
1136a320958
12198763b16
13c52cc56c
14754dd162
15484c64e6
hex2e62d482

778228866 has 48 divisors (see below), whose sum is σ = 1793282400. Its totient is φ = 243212544.

The previous prime is 778228861. The next prime is 778228879. The reversal of 778228866 is 668822877.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (778228861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21445 + ... + 44903.

It is an arithmetic number, because the mean of its divisors is an integer number (37360050).

Almost surely, 2778228866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 778228866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896641200).

778228866 is an abundant number, since it is smaller than the sum of its proper divisors (1015053534).

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

778228866 is a wasteful number, since it uses less digits than its factorization.

778228866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23583 (or 23580 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 778228866 is about 27896.7536821043. The cubic root of 778228866 is about 919.8191460820.

The spelling of 778228866 in words is "seven hundred seventy-eight million, two hundred twenty-eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 194 291 342 582 873 1746 1843 3686 5529 11058 16587 23459 33174 46918 70377 140754 211131 422262 445721 891442 1337163 2275523 2674326 4011489 4551046 6826569 8022978 13653138 20479707 40959414 43234937 86469874 129704811 259409622 389114433 778228866