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12235000 = 23542447
BaseRepresentation
bin101110101011…
…000011111000
3212000121021011
4232223003320
511113010000
61114123304
7205665361
oct56530370
925017234
1012235000
1169a7378
124120534
1326c4c5b
1418a6b68
15111a2ba
hexbab0f8

12235000 has 40 divisors (see below), whose sum is σ = 28678320. Its totient is φ = 4892000.

The previous prime is 12234991. The next prime is 12235001. The reversal of 12235000 is 53221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12235001) 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 9 ways as a sum of consecutive naturals, for example, 3777 + ... + 6223.

It is an arithmetic number, because the mean of its divisors is an integer number (716958).

Almost surely, 212235000 is an apocalyptic number.

12235000 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 12235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339160).

12235000 is an abundant number, since it is smaller than the sum of its proper divisors (16443320).

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

12235000 is an equidigital number, since it uses as much as digits as its factorization.

12235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 12235000 is about 3497.8564864785. The cubic root of 12235000 is about 230.4276856359.

Adding to 12235000 its reverse (53221), we get a palindrome (12288221).

The spelling of 12235000 in words is "twelve million, two hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2447 2500 4894 5000 9788 12235 19576 24470 48940 61175 97880 122350 244700 305875 489400 611750 1223500 1529375 2447000 3058750 6117500 12235000