Search a number
-
+
2146312014 = 2372111016571
BaseRepresentation
bin111111111101110…
…0001111101001110
312112120122221120120
41333323201331032
513343423441024
6552550525410
7104121231300
oct17773417516
95476587516
102146312014
11a0159aa90
124ba966866
13282884712
141650a3970
15c8664479
hex7fee1f4e

2146312014 has 96 divisors (see below), whose sum is σ = 5502183552. Its totient is φ = 551880000.

The previous prime is 2146311983. The next prime is 2146312031. The reversal of 2146312014 is 4102136412.

It is a super-2 number, since 2×21463120142 = 9213310522881472392, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 323349 + ... + 329919.

It is an arithmetic number, because the mean of its divisors is an integer number (57314412).

Almost surely, 22146312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751091776).

2146312014 is an abundant number, since it is smaller than the sum of its proper divisors (3355871538).

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

2146312014 is a wasteful number, since it uses less digits than its factorization.

2146312014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2146312014 is about 46328.3068328641. The cubic root of 2146312014 is about 1289.9244820884.

Adding to 2146312014 its reverse (4102136412), we get a palindrome (6248448426).

The spelling of 2146312014 in words is "two billion, one hundred forty-six million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 101 147 154 202 231 294 303 462 539 606 707 1078 1111 1414 1617 2121 2222 3234 3333 4242 4949 6571 6666 7777 9898 13142 14847 15554 19713 23331 29694 39426 45997 46662 54439 72281 91994 108878 137991 144562 163317 216843 275982 321979 326634 433686 505967 643958 663671 965937 1011934 1327342 1517901 1931874 1991013 3035802 3541769 3982026 4645697 7083538 7300381 9291394 10625307 13937091 14600762 21250614 21901143 27874182 32519879 43802286 51102667 65039758 97559637 102205334 153308001 195119274 306616002 357718669 715437338 1073156007 2146312014