Search a number
-
+
313223000 = 23531033041
BaseRepresentation
bin10010101010110…
…110011101011000
3210211101101011212
4102222312131120
51120141114000
651025242252
710522231406
oct2252663530
9724341155
10313223000
11150896092
1288a93388
134cb7a66c
142d856476
151c771c35
hex12ab6758

313223000 has 64 divisors (see below), whose sum is σ = 740301120. Its totient is φ = 124032000.

The previous prime is 313222967. The next prime is 313223041. The reversal of 313223000 is 322313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101480 + ... + 104520.

It is an arithmetic number, because the mean of its divisors is an integer number (11567205).

Almost surely, 2313223000 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 313223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370150560).

313223000 is an abundant number, since it is smaller than the sum of its proper divisors (427078120).

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

313223000 is a wasteful number, since it uses less digits than its factorization.

313223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 313223000 is about 17698.1072434314. The cubic root of 313223000 is about 679.1273407836.

Adding to 313223000 its reverse (322313), we get a palindrome (313545313).

The spelling of 313223000 in words is "three hundred thirteen million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 2060 2575 3041 4120 5150 6082 10300 12164 12875 15205 20600 24328 25750 30410 51500 60820 76025 103000 121640 152050 304100 313223 380125 608200 626446 760250 1252892 1520500 1566115 2505784 3041000 3132230 6264460 7830575 12528920 15661150 31322300 39152875 62644600 78305750 156611500 313223000