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12225000 = 23355163
BaseRepresentation
bin101110101000…
…100111101000
3212000002112210
4232220213220
511112200000
61114005120
7205624254
oct56504750
925002483
1012225000
11699a907
1241167a0
1326c0538
1418a3264
151117350
hexba89e8

12225000 has 96 divisors (see below), whose sum is σ = 38435040. Its totient is φ = 3240000.

The previous prime is 12224981. The next prime is 12225041. The reversal of 12225000 is 52221.

12225000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74919 + ... + 75081.

It is an arithmetic number, because the mean of its divisors is an integer number (400365).

Almost surely, 212225000 is an apocalyptic number.

12225000 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 12225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217520).

12225000 is an abundant number, since it is smaller than the sum of its proper divisors (26210040).

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

12225000 is an equidigital number, since it uses as much as digits as its factorization.

12225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12225000 is about 3496.4267474094. The cubic root of 12225000 is about 230.3648902422.

Adding to 12225000 its reverse (52221), we get a palindrome (12277221).

The spelling of 12225000 in words is "twelve million, two hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 163 200 250 300 326 375 489 500 600 625 652 750 815 978 1000 1250 1304 1500 1630 1875 1956 2445 2500 3000 3125 3260 3750 3912 4075 4890 5000 6250 6520 7500 8150 9375 9780 12225 12500 15000 16300 18750 19560 20375 24450 25000 32600 37500 40750 48900 61125 75000 81500 97800 101875 122250 163000 203750 244500 305625 407500 489000 509375 611250 815000 1018750 1222500 1528125 2037500 2445000 3056250 4075000 6112500 12225000