Search a number
-
+
2014403300 = 22527131811223
BaseRepresentation
bin111100000010001…
…0101101011100100
312012101110021211122
41320010111223210
513111141401200
6531515353112
7100630100630
oct17004255344
95171407748
102014403300
11944095018
12482752798
1326144b220
14151767dc0
15bbcaa385
hex78115ae4

2014403300 has 144 divisors (see below), whose sum is σ = 5414153472. Its totient is φ = 633484800.

The previous prime is 2014403297. The next prime is 2014403323. The reversal of 2014403300 is 33044102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646489 + ... + 1647711.

It is an arithmetic number, because the mean of its divisors is an integer number (37598288).

Almost surely, 22014403300 is an apocalyptic number.

2014403300 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 2014403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707076736).

2014403300 is an abundant number, since it is smaller than the sum of its proper divisors (3399750172).

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

2014403300 is a wasteful number, since it uses less digits than its factorization.

2014403300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2014403300 is about 44882.1044515517. The cubic root of 2014403300 is about 1262.9383218092.

Adding to 2014403300 its reverse (33044102), we get a palindrome (2047447402).

The spelling of 2014403300 in words is "two billion, fourteen million, four hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 181 182 260 325 350 362 364 455 650 700 724 905 910 1223 1267 1300 1810 1820 2275 2353 2446 2534 3620 4525 4550 4706 4892 5068 6115 6335 8561 9050 9100 9412 11765 12230 12670 15899 16471 17122 18100 23530 24460 25340 30575 31675 31798 32942 34244 42805 47060 58825 61150 63350 63596 65884 79495 82355 85610 111293 117650 122300 126700 158990 164710 171220 214025 221363 222586 235300 317980 329420 397475 411775 428050 442726 445172 556465 794950 823550 856100 885452 1106815 1112930 1549541 1589900 1647100 2213630 2225860 2782325 2877719 3099082 4427260 5534075 5564650 5755438 6198164 7747705 11068150 11129300 11510876 14388595 15495410 20144033 22136300 28777190 30990820 38738525 40288066 57554380 71942975 77477050 80576132 100720165 143885950 154954100 201440330 287771900 402880660 503600825 1007201650 2014403300