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12220200 = 2333523173
BaseRepresentation
bin101110100111…
…011100101000
3211222211222000
4232213130220
511112021300
61113531000
7205604256
oct56473450
924884860
1012220200
116997243
124113a60
1326bb2b5
1418a15d6
151115c00
hexba7728

12220200 has 192 divisors, whose sum is σ = 44044800. Its totient is φ = 3110400.

The previous prime is 12220193. The next prime is 12220217. The reversal of 12220200 is 202221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 167364 + ... + 167436.

It is an arithmetic number, because the mean of its divisors is an integer number (229400).

Almost surely, 212220200 is an apocalyptic number.

12220200 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 12220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22022400).

12220200 is an abundant number, since it is smaller than the sum of its proper divisors (31824600).

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

12220200 is a wasteful number, since it uses less digits than its factorization.

12220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12220200 is about 3495.7402649510. The cubic root of 12220200 is about 230.3347362893.

Adding to 12220200 its reverse (202221), we get a palindrome (12422421).

The spelling of 12220200 in words is "twelve million, two hundred twenty thousand, two hundred".