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212021334 = 2337311447
BaseRepresentation
bin11001010001100…
…11000001010110
3112202221210121000
430220303001112
5413234140314
633012204130
75153103000
oct1450630126
9482853530
10212021334
11a9753848
125b009646
1334c05c15
1420231370
1513931209
hexca33056

212021334 has 64 divisors (see below), whose sum is σ = 549504000. Its totient is φ = 60572232.

The previous prime is 212021333. The next prime is 212021353. The reversal of 212021334 is 433120212.

It is a super-2 number, since 2×2120213342 = 89906092142279112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12799 + ... + 24245.

It is an arithmetic number, because the mean of its divisors is an integer number (8586000).

Almost surely, 2212021334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274752000).

212021334 is an abundant number, since it is smaller than the sum of its proper divisors (337482666).

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

212021334 is a wasteful number, since it uses less digits than its factorization.

212021334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11479 (or 11459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212021334 is about 14560.9523726987. The cubic root of 212021334 is about 596.2931965066.

Adding to 212021334 its reverse (433120212), we get a palindrome (645141546).

The spelling of 212021334 in words is "two hundred twelve million, twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1323 2058 2646 3087 6174 9261 11447 18522 22894 34341 68682 80129 103023 160258 206046 240387 309069 480774 560903 618138 721161 1121806 1442322 1682709 2163483 3365418 3926321 4326966 5048127 7852642 10096254 11778963 15144381 23557926 30288762 35336889 70673778 106010667 212021334