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1222928 = 24761179
BaseRepresentation
bin100101010100100010000
32022010112122
410222210100
5303113203
642113412
713252250
oct4524420
92263478
101222928
11765893
124ab868
1333a835
1423b960
15192538
hex12a910

1222928 has 40 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 512640.

The previous prime is 1222913. The next prime is 1222931. The reversal of 1222928 is 8292221.

It is a junction number, because it is equal to n+sod(n) for n = 1222897 and 1222906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6743 + ... + 6921.

It is an arithmetic number, because the mean of its divisors is an integer number (69192).

21222928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

1222928 is an abundant number, since it is smaller than the sum of its proper divisors (1544752).

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

1222928 is a wasteful number, since it uses less digits than its factorization.

1222928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 1222928 is about 1105.8607507277. The cubic root of 1222928 is about 106.9383870984.

The spelling of 1222928 in words is "one million, two hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 179 244 358 427 488 716 854 976 1253 1432 1708 2506 2864 3416 5012 6832 10024 10919 20048 21838 43676 76433 87352 152866 174704 305732 611464 1222928