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214032144 = 2434459003
BaseRepresentation
bin11001100000111…
…01111100010000
3112220201221220110
430300131330100
5414243012034
633123241320
75206146264
oct1460357420
9486657813
10214032144
11aa8a7577
125b819240
133545b251
14205d60a4
1513bcbde9
hexcc1df10

214032144 has 20 divisors (see below), whose sum is σ = 552916496. Its totient is φ = 71344032.

The previous prime is 214032101. The next prime is 214032157. The reversal of 214032144 is 441230412.

It is a self number, because there is not a number n which added to its sum of digits gives 214032144.

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 3 ways as a sum of consecutive naturals, for example, 2229454 + ... + 2229549.

Almost surely, 2214032144 is an apocalyptic number.

214032144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214032144 is an abundant number, since it is smaller than the sum of its proper divisors (338884352).

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

214032144 is a wasteful number, since it uses less digits than its factorization.

214032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459014 (or 4459008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 214032144 is about 14629.8374563766. The cubic root of 214032144 is about 598.1723495871.

Adding to 214032144 its reverse (441230412), we get a palindrome (655262556).

The spelling of 214032144 in words is "two hundred fourteen million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4459003 8918006 13377009 17836012 26754018 35672024 53508036 71344048 107016072 214032144