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12219000 = 233534073
BaseRepresentation
bin101110100111…
…001001111000
3211222210022120
4232213021320
511112002000
61113521240
7205600623
oct56471170
924883276
1012219000
116996352
124113220
1326ba8a1
1418a0dba
1511156a0
hexba7278

12219000 has 64 divisors (see below), whose sum is σ = 38132640. Its totient is φ = 3257600.

The previous prime is 12218989. The next prime is 12219007. The reversal of 12219000 is 91221.

It is a happy number.

It is a super-2 number, since 2×122190002 = 298607922000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12219007) 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 15 ways as a sum of consecutive naturals, for example, 964 + ... + 5036.

Almost surely, 212219000 is an apocalyptic number.

12219000 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 12219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066320).

12219000 is an abundant number, since it is smaller than the sum of its proper divisors (25913640).

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

12219000 is a wasteful number, since it uses less digits than its factorization.

12219000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 12219000 is about 3495.5686232715. The cubic root of 12219000 is about 230.3271965673.

The spelling of 12219000 in words is "twelve million, two hundred nineteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4073 8146 12219 16292 20365 24438 32584 40730 48876 61095 81460 97752 101825 122190 162920 203650 244380 305475 407300 488760 509125 610950 814600 1018250 1221900 1527375 2036500 2443800 3054750 4073000 6109500 12219000