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2313228120 = 233579372939
BaseRepresentation
bin1000100111100001…
…0000111101011000
312222012202011102120
42021320100331120
514214141244440
61021312301240
7111216054210
oct21170207530
95865664376
102313228120
11a87836585
12546841820
132ab327148
1417d313240
15d8135dd0
hex89e10f58

2313228120 has 128 divisors (see below), whose sum is σ = 7942233600. Its totient is φ = 527993856.

The previous prime is 2313228107. The next prime is 2313228221. The reversal of 2313228120 is 218223132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 785611 + ... + 788549.

It is an arithmetic number, because the mean of its divisors is an integer number (62048700).

Almost surely, 22313228120 is an apocalyptic number.

2313228120 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 2313228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971116800).

2313228120 is an abundant number, since it is smaller than the sum of its proper divisors (5629005480).

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

2313228120 is a wasteful number, since it uses less digits than its factorization.

2313228120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2313228120 is about 48096.0301896113. The cubic root of 2313228120 is about 1322.5318943665.

The spelling of 2313228120 in words is "two billion, three hundred thirteen million, two hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 937 1874 2811 2939 3748 4685 5622 5878 6559 7496 8817 9370 11244 11756 13118 14055 14695 17634 18740 19677 20573 22488 23512 26236 28110 29390 32795 35268 37480 39354 41146 44085 52472 56220 58780 61719 65590 70536 78708 82292 88170 98385 102865 112440 117560 123438 131180 157416 164584 176340 196770 205730 246876 262360 308595 352680 393540 411460 493752 617190 787080 822920 1234380 2468760 2753843 5507686 8261529 11015372 13769215 16523058 19276901 22030744 27538430 33046116 38553802 41307645 55076860 57830703 66092232 77107604 82615290 96384505 110153720 115661406 154215208 165230580 192769010 231322812 289153515 330461160 385538020 462645624 578307030 771076040 1156614060 2313228120