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212013024 = 2537330253
BaseRepresentation
bin11001010001100…
…00111111100000
3112202221101012020
430220300333200
5413233404044
633012101440
75153036526
oct1450607740
9482841166
10212013024
11a9748583
125b004880
1334c021c2
142022c316
151392da19
hexca30fe0

212013024 has 48 divisors (see below), whose sum is σ = 564176592. Its totient is φ = 69700608.

The previous prime is 212013017. The next prime is 212013059. The reversal of 212013024 is 420310212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 212012994 and 212013012.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8119 + ... + 22134.

It is an arithmetic number, because the mean of its divisors is an integer number (11753679).

Almost surely, 2212013024 is an apocalyptic number.

212013024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212013024 is an abundant number, since it is smaller than the sum of its proper divisors (352163568).

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

212013024 is a wasteful number, since it uses less digits than its factorization.

212013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30339 (or 30331 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212013024 is about 14560.6670176884. The cubic root of 212013024 is about 596.2854059993.

Adding to 212013024 its reverse (420310212), we get a palindrome (632323236).

The spelling of 212013024 in words is "two hundred twelve million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 30253 60506 90759 121012 181518 242024 363036 484048 726072 968096 1452144 2208469 2904288 4416938 6625407 8833876 13250814 17667752 26501628 35335504 53003256 70671008 106006512 212013024