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2014131232 = 25414789367
BaseRepresentation
bin111100000001101…
…0011010000100000
312012100221110122001
41320003103100200
513111104144412
6531505453344
7100624555501
oct17003232040
95170843561
102014131232
11943a19673
12482641254
13261384439
141516d6ba8
15bbc54957
hex780d3420

2014131232 has 96 divisors (see below), whose sum is σ = 4206504960. Its totient is φ = 948203520.

The previous prime is 2014131181. The next prime is 2014131277. The reversal of 2014131232 is 2321314102.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5487913 + ... + 5488279.

It is an arithmetic number, because the mean of its divisors is an integer number (43817760).

Almost surely, 22014131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103252480).

2014131232 is an abundant number, since it is smaller than the sum of its proper divisors (2192373728).

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

2014131232 is a wasteful number, since it uses less digits than its factorization.

2014131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2014131232 is about 44879.0734307205. The cubic root of 2014131232 is about 1262.8814612037.

Adding to 2014131232 its reverse (2321314102), we get a palindrome (4335445334).

The spelling of 2014131232 in words is "two billion, fourteen million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 47 82 89 94 164 178 188 328 356 367 376 656 712 734 752 1312 1424 1468 1504 1927 2848 2936 3649 3854 4183 5872 7298 7708 8366 11744 14596 15047 15416 16732 17249 29192 30094 30832 32663 33464 34498 58384 60188 61664 65326 66928 68996 116768 120376 130652 133856 137992 171503 240752 261304 275984 343006 481504 522608 551968 686012 707209 1045216 1339183 1372024 1414418 1535161 2678366 2744048 2828836 3070322 5356732 5488096 5657672 6140644 10713464 11315344 12281288 21426928 22630688 24562576 42853856 49125152 62941601 125883202 251766404 503532808 1007065616 2014131232