Search a number
-
+
212414604 = 223193141733
BaseRepresentation
bin11001010100100…
…11000010001100
3112210200210001120
430222103002030
5413334231404
633024440540
75156331363
oct1452230214
9483623046
10212414604
11a99a2266
125b179150
1335012c1c
14202d47da
15139ac9d9
hexca9308c

212414604 has 96 divisors (see below), whose sum is σ = 552437760. Its totient is φ = 63244800.

The previous prime is 212414603. The next prime is 212414611. The reversal of 212414604 is 406414212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212414603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289422 + ... + 290154.

It is an arithmetic number, because the mean of its divisors is an integer number (5754560).

Almost surely, 2212414604 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 212414604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276218880).

212414604 is an abundant number, since it is smaller than the sum of its proper divisors (340023156).

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

212414604 is a wasteful number, since it uses less digits than its factorization.

212414604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 212414604 is about 14574.4503841483. The cubic root of 212414604 is about 596.6616490255.

Adding to 212414604 its reverse (406414212), we get a palindrome (618828816).

The spelling of 212414604 in words is "two hundred twelve million, four hundred fourteen thousand, six hundred four".

Divisors: 1 2 3 4 6 12 19 31 38 41 57 62 76 82 93 114 123 124 164 186 228 246 372 492 589 733 779 1178 1271 1466 1558 1767 2199 2337 2356 2542 2932 3116 3534 3813 4398 4674 5084 7068 7626 8796 9348 13927 15252 22723 24149 27854 30053 41781 45446 48298 55708 60106 68169 72447 83562 90159 90892 96596 120212 136338 144894 167124 180318 272676 289788 360636 431737 571007 863474 931643 1142014 1295211 1713021 1726948 1863286 2284028 2590422 2794929 3426042 3726572 5180844 5589858 6852084 11179716 17701217 35402434 53103651 70804868 106207302 212414604