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212063320 = 23573072467
BaseRepresentation
bin11001010001111…
…01010001011000
3112210000221012001
430220331101120
5413242011240
633013130344
75153336260
oct1450752130
9483027161
10212063320
11a9782347
125b0299b4
1334c1c071
14202427a0
151393d89a
hexca3d458

212063320 has 64 divisors (see below), whose sum is σ = 547303680. Its totient is φ = 72441216.

The previous prime is 212063311. The next prime is 212063333. The reversal of 212063320 is 23360212.

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, 84727 + ... + 87193.

It is an arithmetic number, because the mean of its divisors is an integer number (8551620).

Almost surely, 2212063320 is an apocalyptic number.

212063320 is a gapful number since it is divisible by the number (20) 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 212063320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273651840).

212063320 is an abundant number, since it is smaller than the sum of its proper divisors (335240360).

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

212063320 is a wasteful number, since it uses less digits than its factorization.

212063320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 212063320 is about 14562.3940339492. The cubic root of 212063320 is about 596.3325546744.

The spelling of 212063320 in words is "two hundred twelve million, sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 307 614 1228 1535 2149 2456 2467 3070 4298 4934 6140 8596 9868 10745 12280 12335 17192 17269 19736 21490 24670 34538 42980 49340 69076 85960 86345 98680 138152 172690 345380 690760 757369 1514738 3029476 3786845 5301583 6058952 7573690 10603166 15147380 21206332 26507915 30294760 42412664 53015830 106031660 212063320