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12227100 = 2235253769
BaseRepresentation
bin101110101001…
…001000011100
3212000012102120
4232221020130
511112231400
61114022540
7205633344
oct56511034
925005376
1012227100
1169a1446
124117a50
1326c1492
1418a3d24
151117ca0
hexba921c

12227100 has 72 divisors (see below), whose sum is σ = 36091440. Its totient is φ = 3194880.

The previous prime is 12227081. The next prime is 12227167. The reversal of 12227100 is 172221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12227100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15516 + ... + 16284.

It is an arithmetic number, because the mean of its divisors is an integer number (501270).

Almost surely, 212227100 is an apocalyptic number.

12227100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12227100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045720).

12227100 is an abundant number, since it is smaller than the sum of its proper divisors (23864340).

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

12227100 is a wasteful number, since it uses less digits than its factorization.

12227100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 12227100 is about 3496.7270411057. The cubic root of 12227100 is about 230.3780801147.

Adding to 12227100 its reverse (172221), we get a palindrome (12399321).

The spelling of 12227100 in words is "twelve million, two hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 769 795 1060 1325 1538 1590 2307 2650 3076 3180 3845 3975 4614 5300 7690 7950 9228 11535 15380 15900 19225 23070 38450 40757 46140 57675 76900 81514 115350 122271 163028 203785 230700 244542 407570 489084 611355 815140 1018925 1222710 2037850 2445420 3056775 4075700 6113550 12227100