Search a number
-
+
2014244200 = 235223942139
BaseRepresentation
bin111100000001110…
…1110110101101000
312012101011012121001
41320003232311220
513111121303300
6531512124344
7100625536033
oct17003566550
95171135531
102014244200
11943a96531
124826966b4
132613c3997
1415172601a
15bbc7816a
hex780eed68

2014244200 has 48 divisors (see below), whose sum is σ = 4702824000. Its totient is φ = 802307520.

The previous prime is 2014244161. The next prime is 2014244203. The reversal of 2014244200 is 24424102.

It is not an unprimeable number, because it can be changed into a prime (2014244203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26731 + ... + 68869.

It is an arithmetic number, because the mean of its divisors is an integer number (97975500).

Almost surely, 22014244200 is an apocalyptic number.

2014244200 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 2014244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351412000).

2014244200 is an abundant number, since it is smaller than the sum of its proper divisors (2688579800).

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

2014244200 is a wasteful number, since it uses less digits than its factorization.

2014244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42394 (or 42385 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2014244200 is about 44880.3319952070. The cubic root of 2014244200 is about 1262.9050714703.

Adding to 2014244200 its reverse (24424102), we get a palindrome (2038668302).

The spelling of 2014244200 in words is "two billion, fourteen million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 478 956 1195 1912 2390 4780 5975 9560 11950 23900 42139 47800 84278 168556 210695 337112 421390 842780 1053475 1685560 2106950 4213900 8427800 10071221 20142442 40284884 50356105 80569768 100712210 201424420 251780525 402848840 503561050 1007122100 2014244200