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214543044 = 223229892309
BaseRepresentation
bin11001100100110…
…10101011000100
3112221200220201200
430302122223010
5414410334134
633142222500
75213404632
oct1462325304
9487626650
10214543044
11100116401
125ba24a30
13355a9961
14206ca352
1513c7d499
hexcc9aac4

214543044 has 72 divisors (see below), whose sum is σ = 567567000. Its totient is φ = 68242944.

The previous prime is 214543031. The next prime is 214543123. The reversal of 214543044 is 440345412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36000000 + 178543044 = 6000^2 + 13362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214542999 and 214543017.

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 23 ways as a sum of consecutive naturals, for example, 91762 + ... + 94070.

It is an arithmetic number, because the mean of its divisors is an integer number (7882875).

Almost surely, 2214543044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214543044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283783500).

214543044 is an abundant number, since it is smaller than the sum of its proper divisors (353023956).

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

214543044 is a wasteful number, since it uses less digits than its factorization.

214543044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 214543044 is about 14647.2879400932. The cubic root of 214543044 is about 598.6479220976.

Adding to 214543044 its reverse (440345412), we get a palindrome (654888456).

The spelling of 214543044 in words is "two hundred fourteen million, five hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 89 116 174 178 261 267 348 356 522 534 801 1044 1068 1602 2309 2581 3204 4618 5162 6927 7743 9236 10324 13854 15486 20781 23229 27708 30972 41562 46458 66961 83124 92916 133922 200883 205501 267844 401766 411002 602649 616503 803532 822004 1205298 1233006 1849509 2410596 2466012 3699018 5959529 7398036 11919058 17878587 23838116 35757174 53635761 71514348 107271522 214543044