Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
12212144 = 247109037
BaseRepresentation
bin101110100101…
…011110110000
3211222102220122
4232211132300
511111242034
61113425412
7205541630
oct56453660
924872818
1012212144
11699118a
12410b268
1326b7729
14189c6c0
15111362e
hexba57b0

12212144 has 20 divisors (see below), whose sum is σ = 27041424. Its totient is φ = 5233728.

The previous prime is 12212143. The next prime is 12212147. The reversal of 12212144 is 44121221.

It is a super-2 number, since 2×122121442 = 298272922153472, 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 (12212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54407 + ... + 54630.

Almost surely, 212212144 is an apocalyptic number.

12212144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12212144 is an abundant number, since it is smaller than the sum of its proper divisors (14829280).

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

12212144 is a wasteful number, since it uses less digits than its factorization.

12212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109052 (or 109046 counting only the distinct ones).

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

The square root of 12212144 is about 3494.5878154655. The cubic root of 12212144 is about 230.2841101528.

Adding to 12212144 its reverse (44121221), we get a palindrome (56333365).

The spelling of 12212144 in words is "twelve million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 109037 218074 436148 763259 872296 1526518 1744592 3053036 6106072 12212144