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2300320020 = 223529245587
BaseRepresentation
bin1000100100011100…
…0001100100010100
312221022110100211210
42021013001210110
514202340220040
61020131501420
7111001253235
oct21107014424
95838410753
102300320020
11a8051a529
12542457870
132a8757a0b
1417b71308c
15d6e36480
hex891c1914

2300320020 has 72 divisors (see below), whose sum is σ = 6670800864. Its totient is φ = 592253312.

The previous prime is 2300320019. The next prime is 2300320027. The reversal of 2300320020 is 200230032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2300319978 and 2300320005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300320027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27667 + ... + 73253.

It is an arithmetic number, because the mean of its divisors is an integer number (92650012).

Almost surely, 22300320020 is an apocalyptic number.

2300320020 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 2300320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335400432).

2300320020 is an abundant number, since it is smaller than the sum of its proper divisors (4370480844).

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

2300320020 is a wasteful number, since it uses less digits than its factorization.

2300320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45657 (or 45626 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2300320020 is about 47961.6515562173. The cubic root of 2300320020 is about 1320.0673404580.

Adding to 2300320020 its reverse (200230032), we get a palindrome (2500550052).

The spelling of 2300320020 in words is "two billion, three hundred million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 841 870 1682 1740 2523 3364 4205 5046 8410 10092 12615 16820 25230 45587 50460 91174 136761 182348 227935 273522 455870 547044 683805 911740 1322023 1367610 2644046 2735220 3966069 5288092 6610115 7932138 13220230 15864276 19830345 26440460 38338667 39660690 76677334 79321380 115016001 153354668 191693335 230032002 383386670 460064004 575080005 766773340 1150160010 2300320020