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212668512 = 2537316471
BaseRepresentation
bin11001010110100…
…01000001100000
3112211011200100120
430223101001200
5413420343022
633034120240
75161436550
oct1453210140
9484150316
10212668512
11aa056001
125b280080
13350a1674
142035d160
1513a0cd5c
hexcad1060

212668512 has 48 divisors (see below), whose sum is σ = 638007552. Its totient is φ = 60762240.

The previous prime is 212668459. The next prime is 212668537. The reversal of 212668512 is 215866212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157564 + ... + 158907.

It is an arithmetic number, because the mean of its divisors is an integer number (13291824).

Almost surely, 2212668512 is an apocalyptic number.

It is an amenable number.

212668512 is an abundant number, since it is smaller than the sum of its proper divisors (425339040).

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

212668512 is a wasteful number, since it uses less digits than its factorization.

212668512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316491 (or 316483 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 212668512 is about 14583.1585056187. The cubic root of 212668512 is about 596.8992925138.

The spelling of 212668512 in words is "two hundred twelve million, six hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 316471 632942 949413 1265884 1898826 2215297 2531768 3797652 4430594 5063536 6645891 7595304 8861188 10127072 13291782 15190608 17722376 26583564 30381216 35444752 53167128 70889504 106334256 212668512