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214544001 = 3722959853
BaseRepresentation
bin11001100100110…
…10111010000001
3112221200222001010
430302122322001
5414410402001
633142231133
75213410500
oct1462327201
9487628033
10214544001
111001170a1
125ba254a9
13355aa219
14206ca837
1513c7d8d6
hexcc9ae81

214544001 has 48 divisors (see below), whose sum is σ = 350481600. Its totient is φ = 116226432.

The previous prime is 214543999. The next prime is 214544027. The reversal of 214544001 is 100445412.

It is a happy number.

It is not a de Polignac number, because 214544001 - 21 = 214543999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (214544041) 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 47 ways as a sum of consecutive naturals, for example, 251091 + ... + 251943.

It is an arithmetic number, because the mean of its divisors is an integer number (7301700).

Almost surely, 2214544001 is an apocalyptic number.

214544001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214544001 is a deficient number, since it is larger than the sum of its proper divisors (135937599).

214544001 is a wasteful number, since it uses less digits than its factorization.

214544001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 214544001 is about 14647.3206082205. The cubic root of 214544001 is about 598.6488122145.

Adding to 214544001 its reverse (100445412), we get a palindrome (314989413).

The spelling of 214544001 in words is "two hundred fourteen million, five hundred forty-four thousand, one".

Divisors: 1 3 7 21 29 49 59 87 147 177 203 413 609 853 1239 1421 1711 2559 2891 4263 5133 5971 8673 11977 17913 24737 35931 41797 50327 74211 83839 125391 150981 173159 251517 352289 519477 1056867 1212113 1459483 2466023 3636339 4378449 7398069 10216381 30649143 71514667 214544001