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212536640 = 265664177
BaseRepresentation
bin11001010101100…
…00110101000000
3112210220222110102
430222300311000
5413402133030
633031221532
75160350231
oct1452606500
9483828412
10212536640
11a9a75a18
125b2178a8
1335056634
1420327088
15139d3c45
hexcab0d40

212536640 has 28 divisors (see below), whose sum is σ = 506103636. Its totient is φ = 85014528.

The previous prime is 212536613. The next prime is 212536657. The reversal of 212536640 is 46635212.

It can be written as a sum of positive squares in 2 ways, for example, as 108659776 + 103876864 = 10424^2 + 10192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331769 + ... + 332408.

Almost surely, 2212536640 is an apocalyptic number.

212536640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212536640 is an abundant number, since it is smaller than the sum of its proper divisors (293566996).

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

212536640 is an equidigital number, since it uses as much as digits as its factorization.

212536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664194 (or 664184 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 212536640 is about 14578.6364245769. The cubic root of 212536640 is about 596.7758914233.

The spelling of 212536640 in words is "two hundred twelve million, five hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 664177 1328354 2656708 3320885 5313416 6641770 10626832 13283540 21253664 26567080 42507328 53134160 106268320 212536640