Search a number
-
+
223247430 = 232572233171
BaseRepresentation
bin11010100111001…
…11110001000110
3120120002010220100
431103213301012
5424122404210
634052544530
75350400100
oct1523476106
9516063810
10223247430
1110502110a
1262922146
1337336893
1421914570
15148ec5c0
hexd4e7c46

223247430 has 288 divisors, whose sum is σ = 737538048. Its totient is φ = 46569600.

The previous prime is 223247413. The next prime is 223247441. The reversal of 223247430 is 34742322.

223247430 is a `hidden beast` number, since 223 + 2 + 4 + 7 + 430 = 666.

It is a super-3 number, since 3×2232474303 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223247394 and 223247403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3144295 + ... + 3144365.

It is an arithmetic number, because the mean of its divisors is an integer number (2560896).

Almost surely, 2223247430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223247430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368769024).

223247430 is an abundant number, since it is smaller than the sum of its proper divisors (514290618).

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

223247430 is a wasteful number, since it uses less digits than its factorization.

223247430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

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

The square root of 223247430 is about 14941.4667954656. The cubic root of 223247430 is about 606.6368986051.

Adding to 223247430 its reverse (34742322), we get a palindrome (257989752).

The spelling of 223247430 in words is "two hundred twenty-three million, two hundred forty-seven thousand, four hundred thirty".