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12225900 = 2235283491
BaseRepresentation
bin101110101000…
…110101101100
3212000010210010
4232220311230
511112212100
61114013220
7205630011
oct56506554
925003703
1012225900
1169a0555
124117210
1326c0a7b
1418a3708
151117750
hexba8d6c

12225900 has 72 divisors (see below), whose sum is σ = 35872704. Its totient is φ = 3214400.

The previous prime is 12225887. The next prime is 12225901. The reversal of 12225900 is 952221.

It is not an unprimeable number, because it can be changed into a prime (12225901) 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 23 ways as a sum of consecutive naturals, for example, 24655 + ... + 25145.

It is an arithmetic number, because the mean of its divisors is an integer number (498232).

Almost surely, 212225900 is an apocalyptic number.

12225900 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 12225900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936352).

12225900 is an abundant number, since it is smaller than the sum of its proper divisors (23646804).

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

12225900 is a wasteful number, since it uses less digits than its factorization.

12225900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 12225900 is about 3496.5554478658. Note that the first 3 decimals coincide. The cubic root of 12225900 is about 230.3705432297.

The spelling of 12225900 in words is "twelve million, two hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 491 498 830 982 996 1245 1473 1660 1964 2075 2455 2490 2946 4150 4910 4980 5892 6225 7365 8300 9820 12275 12450 14730 24550 24900 29460 36825 40753 49100 73650 81506 122259 147300 163012 203765 244518 407530 489036 611295 815060 1018825 1222590 2037650 2445180 3056475 4075300 6112950 12225900