Search a number
-
+
2014233240 = 233541409397
BaseRepresentation
bin111100000001110…
…1100001010011000
312012101010122120010
41320003230022120
513111120430430
6531512001520
7100625462055
oct17003541230
95171118503
102014233240
11943a89278
124826902a0
132613bb9b6
1415172202c
15bbc74cb0
hex780ec298

2014233240 has 64 divisors (see below), whose sum is σ = 6190097760. Its totient is φ = 524026880.

The previous prime is 2014233239. The next prime is 2014233313. The reversal of 2014233240 is 423324102.

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 15 ways as a sum of consecutive naturals, for example, 199779 + ... + 209618.

Almost surely, 22014233240 is an apocalyptic number.

2014233240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014233240 is an abundant number, since it is smaller than the sum of its proper divisors (4175864520).

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

2014233240 is a wasteful number, since it uses less digits than its factorization.

2014233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409452 (or 409448 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2014233240 is about 44880.2098925573. The cubic root of 2014233240 is about 1262.9027808734.

Adding to 2014233240 its reverse (423324102), we get a palindrome (2437557342).

The spelling of 2014233240 in words is "two billion, fourteen million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 409397 818794 1228191 1637588 2046985 2456382 3275176 4093970 4912764 6140955 8187940 9825528 12281910 16375880 16785277 24563820 33570554 49127640 50355831 67141108 83926385 100711662 134282216 167852770 201423324 251779155 335705540 402846648 503558310 671411080 1007116620 2014233240