Search a number
-
+
212221412 = 22133193141
BaseRepresentation
bin11001010011000…
…11110111100100
3112210022222001022
430221203313210
5413312041122
633020350312
75154565214
oct1451436744
9483288038
10212221412
11a98800a7
125b0a5398
1334c76000
1420284244
1513970642
hexca63de4

212221412 has 96 divisors (see below), whose sum is σ = 447820800. Its totient is φ = 87609600.

The previous prime is 212221411. The next prime is 212221423. The reversal of 212221412 is 214122212.

It is a super-2 number, since 2×2122214122 = 90075855422547488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212221411) 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, 5176112 + ... + 5176152.

It is an arithmetic number, because the mean of its divisors is an integer number (4664800).

Almost surely, 2212221412 is an apocalyptic number.

It is an amenable number.

212221412 is an abundant number, since it is smaller than the sum of its proper divisors (235599388).

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

212221412 is a wasteful number, since it uses less digits than its factorization.

212221412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 212221412 is about 14567.8211136738. The cubic root of 212221412 is about 596.4807053756.

Adding to 212221412 its reverse (214122212), we get a palindrome (426343624).

The spelling of 212221412 in words is "two hundred twelve million, two hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 4 13 19 26 31 38 41 52 62 76 82 124 164 169 247 338 403 494 533 589 676 779 806 988 1066 1178 1271 1558 1612 2132 2197 2356 2542 3116 3211 4394 5084 5239 6422 6929 7657 8788 10127 10478 12844 13858 15314 16523 20254 20956 24149 27716 30628 33046 40508 41743 48298 66092 68107 83486 90077 96596 99541 131651 136214 166972 180154 199082 214799 263302 272428 313937 360308 398164 429598 526604 627874 859196 1255748 1294033 1711463 2588066 2792387 3422926 4081181 5176132 5584774 6845852 8162362 11169548 16324724 53055353 106110706 212221412