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212414384 = 24713236343
BaseRepresentation
bin11001010100100…
…10111110110000
3112210200202202102
430222102332300
5413334230014
633024435532
75156330630
oct1452227660
9483622672
10212414384
11a99a2086
125b178ba8
1335012ab0
14202d46c0
15139ac8de
hexca92fb0

212414384 has 80 divisors (see below), whose sum is σ = 528632832. Its totient is φ = 80365824.

The previous prime is 212414381. The next prime is 212414393. The reversal of 212414384 is 483414212.

212414384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212414381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30317 + ... + 36659.

Almost surely, 2212414384 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 212414384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264316416).

212414384 is an abundant number, since it is smaller than the sum of its proper divisors (316218448).

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

212414384 is a wasteful number, since it uses less digits than its factorization.

212414384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6388 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 212414384 is about 14574.4428366919. The cubic root of 212414384 is about 596.6614430359.

Adding to 212414384 its reverse (483414212), we get a palindrome (695828596).

The spelling of 212414384 in words is "two hundred twelve million, four hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1456 2093 2392 2576 4186 4784 6343 8372 12686 16744 25372 33488 44401 50744 82459 88802 101488 145889 164918 177604 291778 329836 355208 577213 583556 659672 710416 1021223 1154426 1167112 1319344 1896557 2042446 2308852 2334224 3793114 4084892 4617704 7586228 8169784 9235408 13275899 15172456 16339568 26551798 30344912 53103596 106207192 212414384