Search a number
-
+
656222656 = 2643673559
BaseRepresentation
bin100111000111010…
…010100111000000
31200201210120020211
4213013102213000
52320443111111
6145041043504
722155541405
oct4707224700
91621716224
10656222656
11307469881
12163926594
13a5c5243b
14632202ac
153c926521
hex271d29c0

656222656 has 56 divisors (see below), whose sum is σ = 1352743040. Its totient is φ = 315608832.

The previous prime is 656222647. The next prime is 656222719.

656222656 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 182605 + ... + 186163.

Almost surely, 2656222656 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 656222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676371520).

656222656 is an abundant number, since it is smaller than the sum of its proper divisors (696520384).

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

656222656 is a wasteful number, since it uses less digits than its factorization.

656222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3671 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 656222656 is about 25616.8432091076. The cubic root of 656222656 is about 868.9945914067.

The spelling of 656222656 in words is "six hundred fifty-six million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 67 86 134 172 268 344 536 688 1072 1376 2144 2752 2881 3559 4288 5762 7118 11524 14236 23048 28472 46096 56944 92192 113888 153037 184384 227776 238453 306074 476906 612148 953812 1224296 1907624 2448592 3815248 4897184 7630496 9794368 10253479 15260992 20506958 41013916 82027832 164055664 328111328 656222656