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212442420 = 223519331563
BaseRepresentation
bin11001010100110…
…01110100110100
3112210202012012210
430222121310310
5413341124140
633025213420
75156505441
oct1452316464
9483665183
10212442420
11a9a11153
125b191270
1335022798
14203009c8
15139b5d80
hexca99d34

212442420 has 96 divisors (see below), whose sum is σ = 629153280. Its totient is φ = 53412480.

The previous prime is 212442413. The next prime is 212442427. The reversal of 212442420 is 24244212.

212442420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212442413) and next prime (212442427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212442427) 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, 377059 + ... + 377621.

It is an arithmetic number, because the mean of its divisors is an integer number (6553680).

Almost surely, 2212442420 is an apocalyptic number.

212442420 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 212442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314576640).

212442420 is an abundant number, since it is smaller than the sum of its proper divisors (416710860).

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

212442420 is a wasteful number, since it uses less digits than its factorization.

212442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 212442420 is about 14575.4046256013. The cubic root of 212442420 is about 596.6876924577.

Adding to 212442420 its reverse (24244212), we get a palindrome (236686632).

It can be divided in two parts, 2124 and 42420, that added together give a palindrome (44544).

The spelling of 212442420 in words is "two hundred twelve million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 331 380 563 570 662 993 1126 1140 1324 1655 1689 1986 2252 2815 3310 3378 3972 4965 5630 6289 6620 6756 8445 9930 10697 11260 12578 16890 18867 19860 21394 25156 31445 32091 33780 37734 42788 53485 62890 64182 75468 94335 106970 125780 128364 160455 186353 188670 213940 320910 372706 377340 559059 641820 745412 931765 1118118 1863530 2236236 2795295 3540707 3727060 5590590 7081414 10622121 11181180 14162828 17703535 21244242 35407070 42488484 53110605 70814140 106221210 212442420