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12212224 = 2116789
BaseRepresentation
bin101110100101…
…100000000000
3211222110000121
4232211200000
511111242344
61113430024
7205542103
oct56454000
924873017
1012212224
116991252
12410b314
1326b778b
14189c73a
151113684
hexba5800

12212224 has 48 divisors (see below), whose sum is σ = 25061400. Its totient is φ = 5947392.

The previous prime is 12212201. The next prime is 12212237. The reversal of 12212224 is 42221221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12212198 and 12212207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137172 + ... + 137260.

Almost surely, 212212224 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 12212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530700).

12212224 is an abundant number, since it is smaller than the sum of its proper divisors (12849176).

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

12212224 is an frugal number, since it uses more digits than its factorization.

12212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 12212224 is about 3494.5992617180. The cubic root of 12212224 is about 230.2846130044.

Adding to 12212224 its reverse (42221221), we get a palindrome (54433445).

The spelling of 12212224 in words is "twelve million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 67 89 128 134 178 256 268 356 512 536 712 1024 1072 1424 2048 2144 2848 4288 5696 5963 8576 11392 11926 17152 22784 23852 34304 45568 47704 68608 91136 95408 137216 182272 190816 381632 763264 1526528 3053056 6106112 12212224