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222238128 = 24372611549
BaseRepresentation
bin11010011111100…
…01010110110000
3120111011212101210
431033301112300
5423343110003
634015200120
75335664400
oct1517612660
9514155353
10222238128
111044a1882
1262516040
1337072368
1421730800
151479d503
hexd3f15b0

222238128 has 120 divisors (see below), whose sum is σ = 679234800. Its totient is φ = 62415360.

The previous prime is 222238111. The next prime is 222238141. The reversal of 222238128 is 821832222.

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 = 222238095 and 222238104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142698 + ... + 144246.

It is an arithmetic number, because the mean of its divisors is an integer number (5660290).

Almost surely, 2222238128 is an apocalyptic number.

222238128 is a gapful number since it is divisible by the number (28) 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 222238128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339617400).

222238128 is an abundant number, since it is smaller than the sum of its proper divisors (456996672).

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

222238128 is a wasteful number, since it uses less digits than its factorization.

222238128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1622 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 222238128 is about 14907.6533364578. The cubic root of 222238128 is about 605.7213152908.

The spelling of 222238128 in words is "two hundred twenty-two million, two hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 732 784 854 976 1176 1281 1464 1549 1708 2352 2562 2928 2989 3098 3416 4647 5124 5978 6196 6832 8967 9294 10248 10843 11956 12392 17934 18588 20496 21686 23912 24784 32529 35868 37176 43372 47824 65058 71736 74352 75901 86744 94489 130116 143472 151802 173488 188978 227703 260232 283467 303604 377956 455406 520464 566934 607208 661423 755912 910812 1133868 1214416 1322846 1511824 1821624 1984269 2267736 2645692 3643248 3968538 4535472 4629961 5291384 7937076 9259922 10582768 13889883 15874152 18519844 27779766 31748304 37039688 55559532 74079376 111119064 222238128