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214543242 = 236374197
BaseRepresentation
bin11001100100110…
…10101110001010
3112221200221000000
430302122232022
5414410340432
633142223430
75213405334
oct1462325612
9487627000
10214543242
11100116571
125ba24b76
13355a9a84
14206ca454
1513c7d57c
hexcc9ab8a

214543242 has 112 divisors (see below), whose sum is σ = 512861832. Its totient is φ = 67184640.

The previous prime is 214543237. The next prime is 214543267. The reversal of 214543242 is 242345412.

214543242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170067681 + 44475561 = 13041^2 + 6669^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2211738 + ... + 2211834.

Almost surely, 2214543242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214543242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256430916).

214543242 is an abundant number, since it is smaller than the sum of its proper divisors (298318590).

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

214543242 is an equidigital number, since it uses as much as digits as its factorization.

214543242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

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

The square root of 214543242 is about 14647.2946990221. The cubic root of 214543242 is about 598.6481062599.

Adding to 214543242 its reverse (242345412), we get a palindrome (456888654).

The spelling of 214543242 in words is "two hundred fourteen million, five hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 81 82 97 111 123 162 194 222 243 246 291 333 369 486 582 666 729 738 873 999 1107 1458 1517 1746 1998 2214 2619 2997 3034 3321 3589 3977 4551 5238 5994 6642 7178 7857 7954 8991 9102 9963 10767 11931 13653 15714 17982 19926 21534 23571 23862 26973 27306 29889 32301 35793 40959 47142 53946 59778 64602 70713 71586 81918 96903 107379 122877 141426 147149 193806 214758 245754 290709 294298 322137 368631 441447 581418 644274 737262 872127 882894 966411 1105893 1324341 1744254 1932822 2211786 2616381 2648682 2899233 3973023 5232762 5798466 7946046 11919069 23838138 35757207 71514414 107271621 214543242