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312431022 = 232192713371
BaseRepresentation
bin10010100111110…
…101000110101110
3210202220010210100
4102213311012232
51114440243042
651000251530
710512422421
oct2247650656
9722803710
10312431022
111503a5062
1288770ba6
134c961037
142d6cb9b8
151c66724c
hex129f51ae

312431022 has 48 divisors (see below), whose sum is σ = 715403520. Its totient is φ = 98269200.

The previous prime is 312430973. The next prime is 312431039. The reversal of 312431022 is 220134213.

It is a super-2 number, since 2×3124310222 = 195226287015928968, which contains 22 as substring.

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 = 312430986 and 312431004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90997 + ... + 94367.

It is an arithmetic number, because the mean of its divisors is an integer number (14904240).

Almost surely, 2312431022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312431022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357701760).

312431022 is an abundant number, since it is smaller than the sum of its proper divisors (402972498).

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

312431022 is a wasteful number, since it uses less digits than its factorization.

312431022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312431022 is about 17675.7184295293. The cubic root of 312431022 is about 678.5544711151.

Adding to 312431022 its reverse (220134213), we get a palindrome (532565235).

The spelling of 312431022 in words is "three hundred twelve million, four hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 271 342 542 813 1626 2439 3371 4878 5149 6742 10113 10298 15447 20226 30339 30894 46341 60678 64049 92682 128098 192147 384294 576441 913541 1152882 1827082 2740623 5481246 8221869 16443738 17357279 34714558 52071837 104143674 156215511 312431022