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212341000 = 235359261
BaseRepresentation
bin11001010100000…
…01000100001000
3112210120001002111
430222001010020
5413324403000
633023112104
75155603654
oct1452010410
9483501074
10212341000
11a9951a33
125b142634
1334cb8581
14202b5a64
1513995cba
hexca81108

212341000 has 96 divisors (see below), whose sum is σ = 513728280. Its totient is φ = 82128000.

The previous prime is 212340911. The next prime is 212341027. The reversal of 212341000 is 143212.

It can be written as a sum of positive squares in 4 ways, for example, as 15163236 + 197177764 = 3894^2 + 14042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3480970 + ... + 3481030.

Almost surely, 2212341000 is an apocalyptic number.

212341000 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 212341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256864140).

212341000 is an abundant number, since it is smaller than the sum of its proper divisors (301387280).

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

212341000 is an equidigital number, since it uses as much as digits as its factorization.

212341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212341000 is about 14571.9250615696. The cubic root of 212341000 is about 596.5927244527.

Adding to 212341000 its reverse (143212), we get a palindrome (212484212).

The spelling of 212341000 in words is "two hundred twelve million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 61 100 118 122 125 200 236 244 250 295 305 472 488 500 590 610 1000 1180 1220 1475 1525 2360 2440 2950 3050 3481 3599 5900 6100 6962 7198 7375 7625 11800 12200 13924 14396 14750 15250 17405 17995 27848 28792 29500 30500 34810 35990 59000 61000 69620 71980 87025 89975 139240 143960 174050 179950 212341 348100 359900 424682 435125 449875 696200 719800 849364 870250 899750 1061705 1698728 1740500 1799500 2123410 3481000 3599000 4246820 5308525 8493640 10617050 21234100 26542625 42468200 53085250 106170500 212341000