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13228332 = 22313194463
BaseRepresentation
bin110010011101…
…100100101100
3220220001212020
4302131210230
511341301312
61151310140
7220303365
oct62354454
926801766
1013228332
117515707
12451b350
132982120
141a84b6c
15126478c
hexc9d92c

13228332 has 48 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3855168.

The previous prime is 13228307. The next prime is 13228333. The reversal of 13228332 is 23382231.

13228332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13228333) 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, 733 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 213228332 is an apocalyptic number.

13228332 is a gapful number since it is divisible by the number (12) 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 13228332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

13228332 is an abundant number, since it is smaller than the sum of its proper divisors (21769428).

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

13228332 is a wasteful number, since it uses less digits than its factorization.

13228332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4500 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 13228332 is about 3637.0773981316. The cubic root of 13228332 is about 236.5021148909.

The spelling of 13228332 in words is "thirteen million, two hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 4463 8926 13389 17852 26778 53556 58019 84797 116038 169594 174057 232076 254391 339188 348114 508782 696228 1017564 1102361 2204722 3307083 4409444 6614166 13228332