Search a number
-
+
854221764 = 223112738059
BaseRepresentation
bin110010111010100…
…110001111000100
32012112100221222010
4302322212033010
53222140044024
6220432534220
730111523314
oct6272461704
92175327863
10854221764
113a9205500
121ba0b1370
13107c88a86
1481641444
154eed7b29
hex32ea63c4

854221764 has 72 divisors (see below), whose sum is σ = 2221142560. Its totient is φ = 255277440.

The previous prime is 854221751. The next prime is 854221769. The reversal of 854221764 is 467122458.

854221764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (854221769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101967 + ... + 110025.

Almost surely, 2854221764 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 854221764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110571280).

854221764 is an abundant number, since it is smaller than the sum of its proper divisors (1366920796).

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

854221764 is a wasteful number, since it uses less digits than its factorization.

854221764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8161 (or 8148 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 854221764 is about 29227.0724500419. The cubic root of 854221764 is about 948.8339392232.

The spelling of 854221764 in words is "eight hundred fifty-four million, two hundred twenty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 121 132 146 219 242 292 363 438 484 726 803 876 1452 1606 2409 3212 4818 8059 8833 9636 16118 17666 24177 26499 32236 35332 48354 52998 88649 96708 105996 177298 265947 354596 531894 588307 975139 1063788 1176614 1764921 1950278 2353228 2925417 3529842 3900556 5850834 6471377 7059684 11701668 12942754 19414131 25885508 38828262 71185147 77656524 142370294 213555441 284740588 427110882 854221764