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12225640 = 235747929
BaseRepresentation
bin101110101000…
…110001101000
3212000010102111
4232220301220
511112210030
61114012104
7205626160
oct56506150
925003374
1012225640
1169a0339
124117034
1326c090b
1418a35a0
15111762a
hexba8c68

12225640 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4098048.

The previous prime is 12225613. The next prime is 12225641. The reversal of 12225640 is 4652221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12696 + ... + 13624.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 212225640 is an apocalyptic number.

12225640 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 12225640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12225640 is an abundant number, since it is smaller than the sum of its proper divisors (19915160).

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

12225640 is a wasteful number, since it uses less digits than its factorization.

12225640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 12225640 is about 3496.5182682205. The cubic root of 12225640 is about 230.3689101729.

Adding to 12225640 its reverse (4652221), we get a palindrome (16877861).

The spelling of 12225640 in words is "twelve million, two hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 929 940 1316 1645 1858 1880 2632 3290 3716 4645 6503 6580 7432 9290 13006 13160 18580 26012 32515 37160 43663 52024 65030 87326 130060 174652 218315 260120 305641 349304 436630 611282 873260 1222564 1528205 1746520 2445128 3056410 6112820 12225640