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212656344 = 233231912017
BaseRepresentation
bin11001010110011…
…10000011011000
3112211011001122220
430223032003120
5413420000334
633033544040
75161356225
oct1453160330
9484131586
10212656344
11aa04794a
125b275020
1335098c74
142035894c
1513a09449
hexcace0d8

212656344 has 64 divisors (see below), whose sum is σ = 557936640. Its totient is φ = 67415040.

The previous prime is 212656313. The next prime is 212656351. The reversal of 212656344 is 443656212.

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 15 ways as a sum of consecutive naturals, for example, 104424 + ... + 106440.

It is an arithmetic number, because the mean of its divisors is an integer number (8717760).

Almost surely, 2212656344 is an apocalyptic number.

212656344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212656344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278968320).

212656344 is an abundant number, since it is smaller than the sum of its proper divisors (345280296).

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

212656344 is a wasteful number, since it uses less digits than its factorization.

212656344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2236 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 212656344 is about 14582.7413060782. The cubic root of 212656344 is about 596.8879082723.

The spelling of 212656344 in words is "two hundred twelve million, six hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 191 276 382 552 573 764 1146 1528 2017 2292 4034 4393 4584 6051 8068 8786 12102 13179 16136 17572 24204 26358 35144 46391 48408 52716 92782 105432 139173 185564 278346 371128 385247 556692 770494 1113384 1155741 1540988 2311482 3081976 4622964 8860681 9245928 17721362 26582043 35442724 53164086 70885448 106328172 212656344