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223140352 = 29974493
BaseRepresentation
bin11010100110011…
…01101000000000
3120112212201000111
431103031220000
5424110442402
634050401104
75346442651
oct1523155000
9515781014
10223140352
11104a58716
1262890194
13372c9c16
14218c7528
15148ca9d7
hexd4cda00

223140352 has 40 divisors (see below), whose sum is σ = 450541476. Its totient is φ = 110395392.

The previous prime is 223140343. The next prime is 223140371. The reversal of 223140352 is 253041322.

It can be written as a sum of positive squares in 2 ways, for example, as 198697216 + 24443136 = 14096^2 + 4944^2 .

It is a super-3 number, since 3×2231403523 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 47418 + ... + 51910.

Almost surely, 2223140352 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 223140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225270738).

223140352 is an abundant number, since it is smaller than the sum of its proper divisors (227401124).

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

223140352 is an frugal number, since it uses more digits than its factorization.

223140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 223140352 is about 14937.8831164258. The cubic root of 223140352 is about 606.5398943470.

Adding to 223140352 its reverse (253041322), we get a palindrome (476181674).

The spelling of 223140352 in words is "two hundred twenty-three million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 3104 4493 6208 8986 12416 17972 24832 35944 49664 71888 143776 287552 435821 575104 871642 1150208 1743284 2300416 3486568 6973136 13946272 27892544 55785088 111570176 223140352