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12224196 = 2234291301
BaseRepresentation
bin101110101000…
…011011000100
3212000001110000
4232220123010
511112133241
61114001300
7205622025
oct56503304
925001400
1012224196
11699a246
124116230
1326c006a
1418a2c4c
151116eb6
hexba86c4

12224196 has 60 divisors (see below), whose sum is σ = 33083820. Its totient is φ = 3931200.

The previous prime is 12224189. The next prime is 12224209. The reversal of 12224196 is 69142221.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 10150596 = 1440^2 + 3186^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 8746 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (551397).

Almost surely, 212224196 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 12224196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541910).

12224196 is an abundant number, since it is smaller than the sum of its proper divisors (20859624).

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

12224196 is a wasteful number, since it uses less digits than its factorization.

12224196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1335 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12224196 is about 3496.3117709953. The cubic root of 12224196 is about 230.3598400055.

The spelling of 12224196 in words is "twelve million, two hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1301 1566 2349 2602 3132 3903 4698 5204 7806 9396 11709 15612 23418 35127 37729 46836 70254 75458 105381 113187 140508 150916 210762 226374 339561 421524 452748 679122 1018683 1358244 2037366 3056049 4074732 6112098 12224196