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212057496 = 23327260107
BaseRepresentation
bin11001010001110…
…11110110011000
3112210000122012100
430220323312120
5413241314441
633013043400
75153313300
oct1450736630
9483018170
10212057496
11a9778a32
125b026560
1334c19511
1420240600
151393bcb6
hexca3bd98

212057496 has 72 divisors (see below), whose sum is σ = 668100420. Its totient is φ = 60586848.

The previous prime is 212057477. The next prime is 212057497. The reversal of 212057496 is 694750212.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212057496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212057497) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26526 + ... + 33581.

Almost surely, 2212057496 is an apocalyptic number.

It is an amenable number.

212057496 is an abundant number, since it is smaller than the sum of its proper divisors (456042924).

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

212057496 is a wasteful number, since it uses less digits than its factorization.

212057496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60133 (or 60119 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 212057496 is about 14562.1940654559. The cubic root of 212057496 is about 596.3270954989.

The spelling of 212057496 in words is "two hundred twelve million, fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 60107 120214 180321 240428 360642 420749 480856 540963 721284 841498 1081926 1262247 1442568 1682996 2163852 2524494 2945243 3365992 3786741 4327704 5048988 5890486 7573482 8835729 10097976 11780972 15146964 17671458 23561944 26507187 30293928 35342916 53014374 70685832 106028748 212057496