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12228840 = 2333513267
BaseRepresentation
bin101110101001…
…100011101000
3212000021211000
4232221203220
511112310330
61114035000
7205641411
oct56514350
925007730
1012228840
1169a2788
124118a60
1326c2200
1418a4808
151118560
hexba98e8

12228840 has 192 divisors, whose sum is σ = 44798400. Its totient is φ = 2965248.

The previous prime is 12228823. The next prime is 12228841. The reversal of 12228840 is 4882221.

12228840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12228841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182487 + ... + 182553.

It is an arithmetic number, because the mean of its divisors is an integer number (233325).

Almost surely, 212228840 is an apocalyptic number.

12228840 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 12228840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22399200).

12228840 is an abundant number, since it is smaller than the sum of its proper divisors (32569560).

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

12228840 is a wasteful number, since it uses less digits than its factorization.

12228840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12228840 is about 3496.9758363477. The cubic root of 12228840 is about 230.3890077221.

The spelling of 12228840 in words is "twelve million, two hundred twenty-eight thousand, eight hundred forty".