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214130142 = 2352915193
BaseRepresentation
bin11001100001101…
…01110111011110
3112220220221100000
430300311313132
5414304131032
633125315130
75210035062
oct1460656736
9486827300
10214130142
11aa964166
125b865aa6
1335493a35
142061daa2
1513beae7c
hexcc35dde

214130142 has 48 divisors (see below), whose sum is σ = 497755440. Its totient is φ = 68910912.

The previous prime is 214130131. The next prime is 214130143. The reversal of 214130142 is 241031412.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6498 + ... + 21690.

It is an arithmetic number, because the mean of its divisors is an integer number (10369905).

Almost surely, 2214130142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214130142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248877720).

214130142 is an abundant number, since it is smaller than the sum of its proper divisors (283625298).

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

214130142 is a wasteful number, since it uses less digits than its factorization.

214130142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15239 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214130142 is about 14633.1863242426. The cubic root of 214130142 is about 598.2636298787.

Adding to 214130142 its reverse (241031412), we get a palindrome (455161554).

The spelling of 214130142 in words is "two hundred fourteen million, one hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 4698 7047 14094 15193 30386 45579 91158 136737 273474 410211 440597 820422 881194 1230633 1321791 2461266 2643582 3691899 3965373 7383798 7930746 11896119 23792238 35688357 71376714 107065071 214130142