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212665852 = 22717241641
BaseRepresentation
bin11001010110100…
…00010111111100
3112211011112201001
430223100113330
5413420301402
633034100044
75161426030
oct1453202774
9484145631
10212665852
11aa054003
125b27a624
13350a03a9
142035c1c0
1513a0c187
hexcad05fc

212665852 has 72 divisors (see below), whose sum is σ = 463565088. Its totient is φ = 83558400.

The previous prime is 212665847. The next prime is 212665853. The reversal of 212665852 is 258566212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212665853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331452 + ... + 332092.

It is an arithmetic number, because the mean of its divisors is an integer number (6438404).

Almost surely, 2212665852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212665852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231782544).

212665852 is an abundant number, since it is smaller than the sum of its proper divisors (250899236).

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

212665852 is a wasteful number, since it uses less digits than its factorization.

212665852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 212665852 is about 14583.0673042402. The cubic root of 212665852 is about 596.8968038854.

The spelling of 212665852 in words is "two hundred twelve million, six hundred sixty-five thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 238 287 289 476 574 578 641 697 1148 1156 1282 1394 2023 2564 2788 4046 4487 4879 8092 8974 9758 10897 11849 17948 19516 21794 23698 26281 43588 47396 52562 76279 82943 105124 152558 165886 183967 185249 305116 331772 367934 370498 446777 735868 740996 893554 1296743 1787108 2593486 3127439 5186972 6254878 7595209 12509756 15190418 30380836 53166463 106332926 212665852