Search a number
-
+
313260220 = 225713199059
BaseRepresentation
bin10010101010111…
…111100010111100
3210211110021020101
4102222333202330
51120143311340
651030130444
710522445050
oct2252774274
9724407211
10313260220
11150911049
1288ab0a24
134cb915a0
142d865c60
151c77cc9a
hex12abf8bc

313260220 has 96 divisors (see below), whose sum is σ = 852364800. Its totient is φ = 93913344.

The previous prime is 313260209. The next prime is 313260251. The reversal of 313260220 is 22062313.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30051 + ... + 39109.

It is an arithmetic number, because the mean of its divisors is an integer number (8878800).

Almost surely, 2313260220 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 313260220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426182400).

313260220 is an abundant number, since it is smaller than the sum of its proper divisors (539104580).

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

313260220 is a wasteful number, since it uses less digits than its factorization.

313260220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 313260220 is about 17699.1587370700. The cubic root of 313260220 is about 679.1542397432.

The spelling of 313260220 in words is "three hundred thirteen million, two hundred sixty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3458 4940 6916 8645 9059 17290 18118 34580 36236 45295 63413 90590 117767 126826 172121 181180 235534 253652 317065 344242 471068 588835 634130 688484 824369 860605 1177670 1204847 1268260 1648738 1721210 2237573 2355340 2409694 3297476 3442420 4121845 4475146 4819388 6024235 8243690 8950292 11187865 12048470 15663011 16487380 22375730 24096940 31326022 44751460 62652044 78315055 156630110 313260220