Search a number
-
+
223442730 = 232571731673
BaseRepresentation
bin11010101000101…
…11011100101010
3120120110001210200
431110113130222
5424200131410
634101053030
75352142350
oct1524273452
9516401720
10223442730
11105144915
12629b7176
13373a4744
14219657d0
151493a3c0
hexd51772a

223442730 has 192 divisors, whose sum is σ = 726755328. Its totient is φ = 46448640.

The previous prime is 223442729. The next prime is 223442759. The reversal of 223442730 is 37244322.

223442730 is a `hidden beast` number, since 2 + 234 + 427 + 3 + 0 = 666.

It is a super-3 number, since 3×2234427303 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223442694 and 223442703.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331674 + ... + 332346.

It is an arithmetic number, because the mean of its divisors is an integer number (3785184).

Almost surely, 2223442730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223442730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363377664).

223442730 is an abundant number, since it is smaller than the sum of its proper divisors (503312598).

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

223442730 is a wasteful number, since it uses less digits than its factorization.

223442730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 223442730 is about 14948.0008696815. Note that the first 3 decimals coincide. The cubic root of 223442730 is about 606.8137452171.

The spelling of 223442730 in words is "two hundred twenty-three million, four hundred forty-two thousand, seven hundred thirty".