Search a number
-
+
855325224 = 233313223431
BaseRepresentation
bin110010111110110…
…011101000101000
32012121110000122000
4302332303220220
53222430401344
6220512331000
730124100355
oct6276635050
92177400560
10855325224
113a9899556
121ba543a60
13108284100
148184b62c
1550154a69
hex32fb3a28

855325224 has 96 divisors (see below), whose sum is σ = 2572833600. Its totient is φ = 263165760.

The previous prime is 855325193. The next prime is 855325253. The reversal of 855325224 is 422523558.

It is a happy number.

855325224 is a `hidden beast` number, since 85 + 53 + 2 + 522 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24789 + ... + 48219.

It is an arithmetic number, because the mean of its divisors is an integer number (26800350).

Almost surely, 2855325224 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 855325224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286416800).

855325224 is an abundant number, since it is smaller than the sum of its proper divisors (1717508376).

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

855325224 is a wasteful number, since it uses less digits than its factorization.

855325224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23472 (or 23449 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 855325224 is about 29245.9437187450. The cubic root of 855325224 is about 949.2423225562.

The spelling of 855325224 in words is "eight hundred fifty-five million, three hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 12168 18252 23431 36504 46862 70293 93724 140586 187448 210879 281172 304603 421758 562344 609206 632637 843516 913809 1218412 1265274 1687032 1827618 2436824 2530548 2741427 3655236 3959839 5061096 5482854 7310472 7919678 8224281 10965708 11879517 15839356 16448562 21931416 23759034 31678712 32897124 35638551 47518068 65794248 71277102 95036136 106915653 142554204 213831306 285108408 427662612 855325224