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12229840 = 245721839
BaseRepresentation
bin101110101001…
…110011010000
3212000100012001
4232221303100
511112323330
61114043344
7205644340
oct56516320
925010161
1012229840
1169a3507
124119554
1326c27bc
1418a4d20
1511189ca
hexba9cd0

12229840 has 40 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 4192896.

The previous prime is 12229807. The next prime is 12229843. The reversal of 12229840 is 4892221.

12229840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12229799 and 12229808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12229843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10360 + ... + 11479.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 212229840 is an apocalyptic number.

12229840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12229840 is an abundant number, since it is smaller than the sum of its proper divisors (20268080).

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

12229840 is a wasteful number, since it uses less digits than its factorization.

12229840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21859 (or 21853 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12229840 is about 3497.1188141097. The cubic root of 12229840 is about 230.3952874872.

The spelling of 12229840 in words is "twelve million, two hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 21839 43678 87356 109195 152873 174712 218390 305746 349424 436780 611492 764365 873560 1222984 1528730 1747120 2445968 3057460 6114920 12229840