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313220656 = 24710925657
BaseRepresentation
bin10010101010110…
…101111000110000
3210211101020222001
4102222311320300
51120141030111
651025223344
710522221520
oct2252657060
9724336861
10313220656
11150894351
1288a91b54
134cb79588
142d855680
151c7711c1
hex12ab5e30

313220656 has 40 divisors (see below), whose sum is σ = 699950240. Its totient is φ = 133000704.

The previous prime is 313220653. The next prime is 313220657. The reversal of 313220656 is 656022313.

313220656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (313220653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621 + ... + 25036.

It is an arithmetic number, because the mean of its divisors is an integer number (17498756).

Almost surely, 2313220656 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 313220656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349975120).

313220656 is an abundant number, since it is smaller than the sum of its proper divisors (386729584).

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

313220656 is a wasteful number, since it uses less digits than its factorization.

313220656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25781 (or 25775 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 313220656 is about 17698.0410215368. The cubic root of 313220656 is about 679.1256466993.

Adding to 313220656 its reverse (656022313), we get a palindrome (969242969).

It can be divided in two parts, 3132206 and 56, that multiplied together give a square (175403536 = 132442).

The spelling of 313220656 in words is "three hundred thirteen million, two hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 872 1526 1744 3052 6104 12208 25657 51314 102628 179599 205256 359198 410512 718396 1436792 2796613 2873584 5593226 11186452 19576291 22372904 39152582 44745808 78305164 156610328 313220656