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2300401200 = 243521917001
BaseRepresentation
bin1000100100011101…
…0101011000110000
312221022121111012110
42021013111120300
514202400314300
61020133325320
7111002042016
oct21107253060
95838544173
102300401200
11a80575519
12542496840
132a8785956
1417b7348b6
15d6e50550
hex891d5630

2300401200 has 60 divisors (see below), whose sum is σ = 7368955688. Its totient is φ = 613440000.

The previous prime is 2300401199. The next prime is 2300401253. The reversal of 2300401200 is 21040032.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×23004012004 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957301 + ... + 959700.

Almost surely, 22300401200 is an apocalyptic number.

2300401200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300401200 is an abundant number, since it is smaller than the sum of its proper divisors (5068554488).

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

2300401200 is a wasteful number, since it uses less digits than its factorization.

2300401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917022 (or 1917011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2300401200 is about 47962.4978498827. The cubic root of 2300401200 is about 1320.0828689939.

Adding to 2300401200 its reverse (21040032), we get a palindrome (2321441232).

The spelling of 2300401200 in words is "two billion, three hundred million, four hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1917001 3834002 5751003 7668004 9585005 11502006 15336008 19170010 23004012 28755015 30672016 38340020 46008024 47925025 57510030 76680040 92016048 95850050 115020060 143775075 153360080 191700100 230040120 287550150 383400200 460080240 575100300 766800400 1150200600 2300401200