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312425190 = 232571145083
BaseRepresentation
bin10010100111110…
…011101011100110
3210202212211210100
4102213303223212
51114440101230
651000204530
710512366420
oct2247635346
9722784710
10312425190
111503a0740
1288769746
134c95b49c
142d6c9810
151c665660
hex129f3ae6

312425190 has 96 divisors (see below), whose sum is σ = 1012766976. Its totient is φ = 64918080.

The previous prime is 312425153. The next prime is 312425203. The reversal of 312425190 is 91524213.

It is a super-2 number, since 2×3124251902 = 195218998693072200, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 15612 + ... + 29471.

It is an arithmetic number, because the mean of its divisors is an integer number (10549656).

Almost surely, 2312425190 is an apocalyptic number.

312425190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312425190 is an abundant number, since it is smaller than the sum of its proper divisors (700341786).

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

312425190 is a wasteful number, since it uses less digits than its factorization.

312425190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45114 (or 45111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 312425190 is about 17675.5534566813. The cubic root of 312425190 is about 678.5502490052.

The spelling of 312425190 in words is "three hundred twelve million, four hundred twenty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 45083 90166 135249 225415 270498 315581 405747 450830 495913 631162 676245 811494 946743 991826 1352490 1487739 1577905 1893486 2028735 2479565 2840229 2975478 3155810 3471391 4057470 4463217 4733715 4959130 5680458 6942782 7438695 8926434 9467430 10414173 14201145 14877390 17356955 20828346 22316085 28402290 31242519 34713910 44632170 52070865 62485038 104141730 156212595 312425190