Search a number
-
+
12442212 = 2232379341
BaseRepresentation
bin101111011101…
…101001100100
3212102010111200
4233131221210
511141122322
61122402500
7210520446
oct57355144
925363450
1012442212
117029022
124200430
132768373
14191c496
15115b8ac
hexbdda64

12442212 has 36 divisors (see below), whose sum is σ = 32304636. Its totient is φ = 4034880.

The previous prime is 12442201. The next prime is 12442217. The reversal of 12442212 is 21224421.

12442212 is a `hidden beast` number, since 12 + 442 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 4691556 = 2784^2 + 2166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (12442217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3339 + ... + 6002.

It is an arithmetic number, because the mean of its divisors is an integer number (897351).

Almost surely, 212442212 is an apocalyptic number.

12442212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12442212 is an abundant number, since it is smaller than the sum of its proper divisors (19862424).

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

12442212 is a wasteful number, since it uses less digits than its factorization.

12442212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9383 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12442212 is about 3527.3519813027. The cubic root of 12442212 is about 231.7212516226.

Adding to 12442212 its reverse (21224421), we get a palindrome (33666633).

The spelling of 12442212 in words is "twelve million, four hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 9341 18682 28023 37364 56046 84069 112092 168138 336276 345617 691234 1036851 1382468 2073702 3110553 4147404 6221106 12442212