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212013432 = 233229591721
BaseRepresentation
bin11001010001100…
…01000101111000
3112202221101202100
430220301011320
5413233412212
633012103400
75153040651
oct1450610570
9482841670
10212013432
11a9748914
125b004b60
1334c02447
142022c528
151392dbdc
hexca31178

212013432 has 96 divisors (see below), whose sum is σ = 604422000. Its totient is φ = 67038720.

The previous prime is 212013421. The next prime is 212013469. The reversal of 212013432 is 234310212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122332 + ... + 124052.

Almost surely, 2212013432 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 212013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302211000).

212013432 is an abundant number, since it is smaller than the sum of its proper divisors (392408568).

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

212013432 is a wasteful number, since it uses less digits than its factorization.

212013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212013432 is about 14560.6810280289. The cubic root of 212013432 is about 596.2857884983.

Adding to 212013432 its reverse (234310212), we get a palindrome (446323644).

The spelling of 212013432 in words is "two hundred twelve million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 59 72 87 116 118 174 177 232 236 261 348 354 472 522 531 696 708 1044 1062 1416 1711 1721 2088 2124 3422 3442 4248 5133 5163 6844 6884 10266 10326 13688 13768 15399 15489 20532 20652 30798 30978 41064 41304 49909 61596 61956 99818 101539 123192 123912 149727 199636 203078 299454 304617 399272 406156 449181 598908 609234 812312 898362 913851 1197816 1218468 1796724 1827702 2436936 2944631 3593448 3655404 5889262 7310808 8833893 11778524 17667786 23557048 26501679 35335572 53003358 70671144 106006716 212013432