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315022320 = 243251932267
BaseRepresentation
bin10010110001101…
…101101111110000
3210221202210101100
4102301231233300
51121121203240
651132004400
710543434264
oct2261555760
9727683340
10315022320
11151904a28
1289600700
135035a652
142dba40a4
151c9c9e30
hex12c6dbf0

315022320 has 120 divisors (see below), whose sum is σ = 1063900656. Its totient is φ = 83533824.

The previous prime is 315022313. The next prime is 315022327. The reversal of 315022320 is 23220513.

315022320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (315022313) and next prime (315022327).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 315022293 and 315022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315022327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137827 + ... + 140093.

Almost surely, 2315022320 is an apocalyptic number.

315022320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531950328).

315022320 is an abundant number, since it is smaller than the sum of its proper divisors (748878336).

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

315022320 is a wasteful number, since it uses less digits than its factorization.

315022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 315022320 is about 17748.8681329261. The cubic root of 315022320 is about 680.4252818333.

Adding to 315022320 its reverse (23220513), we get a palindrome (338242833).

The spelling of 315022320 in words is "three hundred fifteen million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 193 240 360 386 579 720 772 965 1158 1544 1737 1930 2267 2316 2895 3088 3474 3860 4534 4632 5790 6801 6948 7720 8685 9068 9264 11335 11580 13602 13896 15440 17370 18136 20403 22670 23160 27204 27792 34005 34740 36272 40806 45340 46320 54408 68010 69480 81612 90680 102015 108816 136020 138960 163224 181360 204030 272040 326448 408060 437531 544080 816120 875062 1312593 1632240 1750124 2187655 2625186 3500248 3937779 4375310 5250372 6562965 7000496 7875558 8750620 10500744 13125930 15751116 17501240 19688895 21001488 26251860 31502232 35002480 39377790 52503720 63004464 78755580 105007440 157511160 315022320