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212943768 = 23317717351
BaseRepresentation
bin11001011000101…
…00001110011000
3112211200122221020
430230110032120
5414003200033
633044042440
75163664212
oct1454241630
9484618836
10212943768
11aa223894
125b393420
1335169a3b
14203d15b2
1513a646b3
hexcb14398

212943768 has 64 divisors (see below), whose sum is σ = 571691520. Its totient is φ = 65856000.

The previous prime is 212943749. The next prime is 212943779. The reversal of 212943768 is 867349212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25293 + ... + 32643.

It is an arithmetic number, because the mean of its divisors is an integer number (8932680).

Almost surely, 2212943768 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 212943768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285845760).

212943768 is an abundant number, since it is smaller than the sum of its proper divisors (358747752).

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

212943768 is a wasteful number, since it uses less digits than its factorization.

212943768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448 (or 7444 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 212943768 is about 14592.5929155856. The cubic root of 212943768 is about 597.1567029421.

The spelling of 212943768 in words is "two hundred twelve million, nine hundred forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 7242 7351 9656 14484 14702 22053 28968 29404 44106 58808 88212 124967 176424 249934 374901 499868 521921 749802 999736 1043842 1499604 1565763 2087684 2999208 3131526 4175368 6263052 8872657 12526104 17745314 26617971 35490628 53235942 70981256 106471884 212943768