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2300112540 = 22325115871979
BaseRepresentation
bin1000100100011000…
…1110111010011100
312221022001211020100
42021012032322130
514202312100130
61020123221100
7110666430315
oct21106167234
95838054210
102300112540
11a80398660
12542377790
132a86b444b
1417b69b60c
15d6de4c60
hex8918ee9c

2300112540 has 144 divisors (see below), whose sum is σ = 7628100480. Its totient is φ = 556371840.

The previous prime is 2300112457. The next prime is 2300112547. The reversal of 2300112540 is 452110032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300112547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161271 + ... + 1163249.

It is an arithmetic number, because the mean of its divisors is an integer number (52972920).

Almost surely, 22300112540 is an apocalyptic number.

2300112540 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 2300112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814050240).

2300112540 is an abundant number, since it is smaller than the sum of its proper divisors (5327987940).

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

2300112540 is a wasteful number, since it uses less digits than its factorization.

2300112540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2300112540 is about 47959.4885293828. The cubic root of 2300112540 is about 1320.0276509359.

Adding to 2300112540 its reverse (452110032), we get a palindrome (2752222572).

The spelling of 2300112540 in words is "two billion, three hundred million, one hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 587 660 990 1174 1761 1979 1980 2348 2935 3522 3958 5283 5870 5937 6457 7044 7916 8805 9895 10566 11740 11874 12914 17610 17811 19371 19790 21132 21769 23748 25828 26415 29685 32285 35220 35622 38742 39580 43538 52830 58113 59370 64570 65307 71244 77484 87076 89055 96855 105660 108845 116226 118740 129140 130614 178110 193710 195921 217690 232452 261228 290565 326535 356220 387420 391842 435380 581130 653070 783684 979605 1161673 1162260 1306140 1959210 2323346 3485019 3918420 4646692 5808365 6970038 10455057 11616730 12778403 13940076 17425095 20910114 23233460 25556806 34850190 38335209 41820228 51113612 52275285 63892015 69700380 76670418 104550570 115005627 127784030 153340836 191676045 209101140 230011254 255568060 383352090 460022508 575028135 766704180 1150056270 2300112540