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2300320500 = 223531980713
BaseRepresentation
bin1000100100011100…
…0001101011110100
312221022110101111120
42021013001223310
514202340224000
61020131503540
7111001254522
oct21107015364
95838411446
102300320500
11a8051a925
12542457bb0
132a8757cba
1417b713312
15d6e366a0
hex891c1af4

2300320500 has 96 divisors (see below), whose sum is σ = 7051175040. Its totient is φ = 581126400.

The previous prime is 2300320489. The next prime is 2300320531. The reversal of 2300320500 is 50230032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2300320500.

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, 11857 + ... + 68856.

It is an arithmetic number, because the mean of its divisors is an integer number (73449740).

Almost surely, 22300320500 is an apocalyptic number.

2300320500 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 2300320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525587520).

2300320500 is an abundant number, since it is smaller than the sum of its proper divisors (4750854540).

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

2300320500 is a wasteful number, since it uses less digits than its factorization.

2300320500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80754 (or 80742 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2300320500 is about 47961.6565602148. The cubic root of 2300320500 is about 1320.0674322760.

Adding to 2300320500 its reverse (50230032), we get a palindrome (2350550532).

The spelling of 2300320500 in words is "two billion, three hundred million, three hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 750 950 1140 1425 1500 1900 2375 2850 4750 5700 7125 9500 14250 28500 80713 161426 242139 322852 403565 484278 807130 968556 1210695 1533547 1614260 2017825 2421390 3067094 4035650 4600641 4842780 6053475 6134188 7667735 8071300 9201282 10089125 12106950 15335470 18402564 20178250 23003205 24213900 30267375 30670940 38338675 40356500 46006410 60534750 76677350 92012820 115016025 121069500 153354700 191693375 230032050 383386750 460064100 575080125 766773500 1150160250 2300320500