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212311424 = 2713127591
BaseRepresentation
bin11001010011110…
…01110110000000
3112210111112112002
430221321312000
5413322431144
633022323132
75155421513
oct1451716600
9483445462
10212311424
11a9931796
125b1294a8
1334ca7c80
14202a8d7a
151398c14e
hexca79d80

212311424 has 32 divisors (see below), whose sum is σ = 455503440. Its totient is φ = 97989120.

The previous prime is 212311417. The next prime is 212311447. The reversal of 212311424 is 424113212.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2123114242 = 90152281521815552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212311396 and 212311405.

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 3 ways as a sum of consecutive naturals, for example, 62132 + ... + 65459.

Almost surely, 2212311424 is an apocalyptic number.

It is an amenable number.

212311424 is an abundant number, since it is smaller than the sum of its proper divisors (243192016).

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

212311424 is a wasteful number, since it uses less digits than its factorization.

212311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127618 (or 127606 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 212311424 is about 14570.9101980624. The cubic root of 212311424 is about 596.5650242822.

Adding to 212311424 its reverse (424113212), we get a palindrome (636424636).

The spelling of 212311424 in words is "two hundred twelve million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 127591 255182 510364 1020728 1658683 2041456 3317366 4082912 6634732 8165824 13269464 16331648 26538928 53077856 106155712 212311424