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2312575320 = 2335115693079
BaseRepresentation
bin1000100111010111…
…0001100101011000
312222011111222221210
42021311301211120
514214004402240
61021250303120
7111210365046
oct21165614530
95864458853
102312575320
11a87430080
12546587aa0
132ab158c83
1417d1c3396
15d8057780
hex89d71958

2312575320 has 128 divisors (see below), whose sum is σ = 7584192000. Its totient is φ = 559457280.

The previous prime is 2312575301. The next prime is 2312575337. The reversal of 2312575320 is 235752132.

It is a happy number.

It is a super-2 number, since 2×23125753202 = 10696009221346204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749541 + ... + 752619.

It is an arithmetic number, because the mean of its divisors is an integer number (59251500).

Almost surely, 22312575320 is an apocalyptic number.

2312575320 is a gapful number since it is divisible by the number (20) 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 2312575320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096000).

2312575320 is an abundant number, since it is smaller than the sum of its proper divisors (5271616680).

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

2312575320 is a wasteful number, since it uses less digits than its factorization.

2312575320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2312575320 is about 48089.2432878705. The cubic root of 2312575320 is about 1322.4074751564.

The spelling of 2312575320 in words is "two billion, three hundred twelve million, five hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 569 660 1138 1320 1707 2276 2845 3079 3414 4552 5690 6158 6259 6828 8535 9237 11380 12316 12518 13656 15395 17070 18474 18777 22760 24632 25036 30790 31295 33869 34140 36948 37554 46185 50072 61580 62590 67738 68280 73896 75108 92370 93885 101607 123160 125180 135476 150216 169345 184740 187770 203214 250360 270952 338690 369480 375540 406428 508035 677380 751080 812856 1016070 1354760 1751951 2032140 3503902 4064280 5255853 7007804 8759755 10511706 14015608 17519510 19271461 21023412 26279265 35039020 38542922 42046824 52558530 57814383 70078040 77085844 96357305 105117060 115628766 154171688 192714610 210234120 231257532 289071915 385429220 462515064 578143830 770858440 1156287660 2312575320