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12209000 = 235329421
BaseRepresentation
bin101110100100…
…101101101000
3211222021121012
4232210231220
511111142000
61113403052
7205526516
oct56445550
924867535
1012209000
116989891
124109488
1326b617b
14189b4b6
151112735
hexba4b68

12209000 has 64 divisors (see below), whose sum is σ = 29624400. Its totient is φ = 4704000.

The previous prime is 12208997. The next prime is 12209003. The reversal of 12209000 is 90221.

12209000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12208997) and next prime (12209003).

It can be written as a sum of positive squares in 8 ways, for example, as 334084 + 11874916 = 578^2 + 3446^2 .

It is not an unprimeable number, because it can be changed into a prime (12209003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28790 + ... + 29210.

Almost surely, 212209000 is an apocalyptic number.

12209000 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 12209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812200).

12209000 is an abundant number, since it is smaller than the sum of its proper divisors (17415400).

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

12209000 is a wasteful number, since it uses less digits than its factorization.

12209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 12209000 is about 3494.1379480496. The cubic root of 12209000 is about 230.2643463455.

Adding to 12209000 its reverse (90221), we get a palindrome (12299221).

The spelling of 12209000 in words is "twelve million, two hundred nine thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 421 500 580 725 842 1000 1160 1450 1684 2105 2900 3368 3625 4210 5800 7250 8420 10525 12209 14500 16840 21050 24418 29000 42100 48836 52625 61045 84200 97672 105250 122090 210500 244180 305225 421000 488360 610450 1220900 1526125 2441800 3052250 6104500 12209000