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212680050 = 235211157821
BaseRepresentation
bin11001010110100…
…11110101110010
3112211012021011220
430223103311302
5413421230200
633034245510
75161515312
oct1453236562
9484167156
10212680050
11aa063740
125b286896
13350a69ab
1420363442
1513a114a0
hexcad3d72

212680050 has 96 divisors (see below), whose sum is σ = 579766464. Its totient is φ = 51168000.

The previous prime is 212680009. The next prime is 212680109. The reversal of 212680050 is 50086212.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212680050.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258640 + ... + 259460.

It is an arithmetic number, because the mean of its divisors is an integer number (6039234).

Almost surely, 2212680050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212680050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289883232).

212680050 is an abundant number, since it is smaller than the sum of its proper divisors (367086414).

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

212680050 is a wasteful number, since it uses less digits than its factorization.

212680050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 212680050 is about 14583.5540935672. The cubic root of 212680050 is about 596.9100869335.

The spelling of 212680050 in words is "two hundred twelve million, six hundred eighty thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 157 165 275 314 330 471 550 785 821 825 942 1570 1642 1650 1727 2355 2463 3454 3925 4105 4710 4926 5181 7850 8210 8635 9031 10362 11775 12315 17270 18062 20525 23550 24630 25905 27093 41050 43175 45155 51810 54186 61575 86350 90310 123150 128897 129525 135465 225775 257794 259050 270930 386691 451550 644485 677325 773382 1288970 1354650 1417867 1933455 2835734 3222425 3866910 4253601 6444850 7089335 8507202 9667275 14178670 19334550 21268005 35446675 42536010 70893350 106340025 212680050