Search a number
-
+
2214114768 = 2432113136069
BaseRepresentation
bin1000001111111000…
…1011010111010000
312201022020200110200
42003332023113100
514013303133033
61003412055200
7105603444045
oct20376132720
95638220420
102214114768
11a368a0218
12519604500
132939340a8
141700b31cc
15ce5a9013
hex83f8b5d0

2214114768 has 60 divisors (see below), whose sum is σ = 6251327940. Its totient is φ = 731501568.

The previous prime is 2214114719. The next prime is 2214114769. The reversal of 2214114768 is 8674114122.

It is a happy number.

2214114768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 390141504 + 1823973264 = 19752^2 + 42708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214114769) 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, 51763 + ... + 84306.

It is an arithmetic number, because the mean of its divisors is an integer number (104188799).

Almost surely, 22214114768 is an apocalyptic number.

It is an amenable number.

2214114768 is an abundant number, since it is smaller than the sum of its proper divisors (4037213172).

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

2214114768 is a wasteful number, since it uses less digits than its factorization.

2214114768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136196 (or 136187 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2214114768 is about 47054.3809650069. The cubic root of 2214114768 is about 1303.3669660032.

The spelling of 2214114768 in words is "two billion, two hundred fourteen million, one hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 136069 272138 408207 544276 816414 1088552 1224621 1632828 2177104 2449242 3265656 4898484 6531312 9796968 15375797 19593936 30751594 46127391 61503188 92254782 123006376 138382173 184509564 246012752 276764346 369019128 553528692 738038256 1107057384 2214114768