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214034144 = 2510961363
BaseRepresentation
bin11001100000111…
…10011011100000
3112220202001122112
430300132123200
5414243043034
633123254452
75206155152
oct1460363340
9486661575
10214034144
11aa8a9025
125b81a428
133545c12c
14205d6ad2
1513bcc7ce
hexcc1e6e0

214034144 has 24 divisors (see below), whose sum is σ = 425252520. Its totient is φ = 106033536.

The previous prime is 214034143. The next prime is 214034153. The reversal of 214034144 is 441430412.

It is a happy number.

It is a super-2 number, since 2×2140341442 = 91621229595625472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214034143) by changing a digit.

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, 27194 + ... + 34169.

It is an arithmetic number, because the mean of its divisors is an integer number (17718855).

Almost surely, 2214034144 is an apocalyptic number.

It is an amenable number.

214034144 is a deficient number, since it is larger than the sum of its proper divisors (211218376).

214034144 is a wasteful number, since it uses less digits than its factorization.

214034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61482 (or 61474 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 214034144 is about 14629.9058096763. The cubic root of 214034144 is about 598.1742127667.

Adding to 214034144 its reverse (441430412), we get a palindrome (655464556).

The spelling of 214034144 in words is "two hundred fourteen million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 109 218 436 872 1744 3488 61363 122726 245452 490904 981808 1963616 6688567 13377134 26754268 53508536 107017072 214034144