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214024524 = 223729103853
BaseRepresentation
bin11001100000111…
…00000101001100
3112220201120110020
430300130011030
5414242241044
633123142140
75206115130
oct1460340514
9486646406
10214024524
11aa8a187a
125b814950
133545793c
14205d33c0
1513bc9a19
hexcc1c14c

214024524 has 96 divisors (see below), whose sum is σ = 596843520. Its totient is φ = 58399488.

The previous prime is 214024523. The next prime is 214024541. The reversal of 214024524 is 425420412.

It is a happy number.

214024524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214024494 and 214024503.

It is not an unprimeable number, because it can be changed into a prime (214024523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250482 + ... + 251334.

It is an arithmetic number, because the mean of its divisors is an integer number (6217120).

Almost surely, 2214024524 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 214024524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298421760).

214024524 is an abundant number, since it is smaller than the sum of its proper divisors (382818996).

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

214024524 is a wasteful number, since it uses less digits than its factorization.

214024524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 214024524 is about 14629.5770273785. The cubic root of 214024524 is about 598.1652507665.

Adding to 214024524 its reverse (425420412), we get a palindrome (639444936).

The spelling of 214024524 in words is "two hundred fourteen million, twenty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 103 116 174 203 206 309 348 406 412 609 618 721 812 853 1218 1236 1442 1706 2163 2436 2559 2884 2987 3412 4326 5118 5971 5974 8652 8961 10236 11942 11948 17913 17922 20909 23884 24737 35826 35844 41818 49474 62727 71652 74211 83636 87859 98948 125454 148422 173159 175718 250908 263577 296844 346318 351436 519477 527154 615013 692636 1038954 1054308 1230026 1845039 2077908 2460052 2547911 3690078 5095822 7380156 7643733 10191644 15287466 17835377 30574932 35670754 53506131 71341508 107012262 214024524