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214130144 = 2531215857
BaseRepresentation
bin11001100001101…
…01110111100000
3112220220221100002
430300311313200
5414304131034
633125315132
75210035064
oct1460656740
9486827302
10214130144
11aa964168
125b865aa8
1335493a37
142061daa4
1513beae7e
hexcc35de0

214130144 has 24 divisors (see below), whose sum is σ = 435169728. Its totient is φ = 103610880.

The previous prime is 214130143. The next prime is 214130177. The reversal of 214130144 is 441031412.

214130144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214130143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106937 + ... + 108920.

It is an arithmetic number, because the mean of its divisors is an integer number (18132072).

Almost surely, 2214130144 is an apocalyptic number.

It is an amenable number.

214130144 is an abundant number, since it is smaller than the sum of its proper divisors (221039584).

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

214130144 is a wasteful number, since it uses less digits than its factorization.

214130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215898 (or 215890 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 214130144 is about 14633.1863925804. The cubic root of 214130144 is about 598.2636317413.

Adding to 214130144 its reverse (441031412), we get a palindrome (655161556).

The spelling of 214130144 in words is "two hundred fourteen million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 215857 431714 863428 1726856 3453712 6691567 6907424 13383134 26766268 53532536 107065072 214130144