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2014122300 = 223526713741
BaseRepresentation
bin111100000001101…
…0001000100111100
312012100221000101020
41320003101010330
513111103403200
6531505344140
7100624520451
oct17003210474
95170830336
102014122300
11943a12993
12482638050
13261380358
141516d3828
15bbc51ea0
hex780d113c

2014122300 has 36 divisors (see below), whose sum is σ = 5827528056. Its totient is φ = 537099200.

The previous prime is 2014122281. The next prime is 2014122323. The reversal of 2014122300 is 32214102.

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 2014122300.

It is a congruent number.

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, 3356571 + ... + 3357170.

Almost surely, 22014122300 is an apocalyptic number.

2014122300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014122300 is an abundant number, since it is smaller than the sum of its proper divisors (3813405756).

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

2014122300 is a wasteful number, since it uses less digits than its factorization.

2014122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713758 (or 6713751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2014122300 is about 44878.9739187518. The cubic root of 2014122300 is about 1262.8795943817.

Adding to 2014122300 its reverse (32214102), we get a palindrome (2046336402).

The spelling of 2014122300 in words is "two billion, fourteen million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6713741 13427482 20141223 26854964 33568705 40282446 67137410 80564892 100706115 134274820 167843525 201412230 335687050 402824460 503530575 671374100 1007061150 2014122300