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222928128 = 283296757
BaseRepresentation
bin11010100100110…
…01110100000000
3120112110220220100
431102121310000
5424032200003
634042042400
75344600143
oct1522316400
9515426810
10222928128
11104923225
12627a9400
1337254447
142187005a
1514887ba3
hexd499d00

222928128 has 54 divisors (see below), whose sum is σ = 642763394. Its totient is φ = 74308608.

The previous prime is 222928117. The next prime is 222928129. The reversal of 222928128 is 821829222.

It is a happy number.

222928128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 222845184 + 82944 = 14928^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222928092 and 222928101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222928129) 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 5 ways as a sum of consecutive naturals, for example, 46075 + ... + 50682.

Almost surely, 2222928128 is an apocalyptic number.

It is an amenable number.

222928128 is an abundant number, since it is smaller than the sum of its proper divisors (419835266).

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

222928128 is an equidigital number, since it uses as much as digits as its factorization.

222928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96779 (or 96762 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 222928128 is about 14930.7778765877. Note that the first 3 decimals coincide. The cubic root of 222928128 is about 606.3475443286.

The spelling of 222928128 in words is "two hundred twenty-two million, nine hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 96757 193514 290271 387028 580542 774056 870813 1161084 1548112 1741626 2322168 3096224 3483252 4644336 6192448 6966504 9288672 12384896 13933008 18577344 24769792 27866016 37154688 55732032 74309376 111464064 222928128