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212421852 = 223697751
BaseRepresentation
bin11001010100101…
…00110011011100
3112210201011000000
430222110303130
5413334444402
633024534300
75156361456
oct1452246334
9483634000
10212421852
11a99a7755
125b181390
1335016306
14202d72d6
15139aec1c
hexca94cdc

212421852 has 84 divisors (see below), whose sum is σ = 563848096. Its totient is φ = 69984000.

The previous prime is 212421823. The next prime is 212421863. The reversal of 212421852 is 258124212.

212421852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 282477 + ... + 283227.

Almost surely, 2212421852 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 212421852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281924048).

212421852 is an abundant number, since it is smaller than the sum of its proper divisors (351426244).

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

212421852 is an equidigital number, since it uses as much as digits as its factorization.

212421852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 853 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 212421852 is about 14574.6990363438. The cubic root of 212421852 is about 596.6684353675.

The spelling of 212421852 in words is "two hundred twelve million, four hundred twenty-one thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 243 291 324 388 486 582 729 751 873 972 1164 1458 1502 1746 2253 2619 2916 3004 3492 4506 5238 6759 7857 9012 10476 13518 15714 20277 23571 27036 31428 40554 47142 60831 70713 72847 81108 94284 121662 141426 145694 182493 218541 243324 282852 291388 364986 437082 547479 655623 729972 874164 1094958 1311246 1966869 2189916 2622492 3933738 5900607 7867476 11801214 17701821 23602428 35403642 53105463 70807284 106210926 212421852