Search a number
-
+
223068352 = 26132311657
BaseRepresentation
bin11010100101111…
…00000011000000
3120112202001020211
431102330003000
5424101141402
634045043504
75346023023
oct1522740300
9515661224
10223068352
11104a09611
1262856594
13372a3210
14218a91ba
15148b44d7
hexd4bc0c0

223068352 has 56 divisors (see below), whose sum is σ = 497470176. Its totient is φ = 98469888.

The previous prime is 223068323. The next prime is 223068367. The reversal of 223068352 is 253860322.

223068352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 13308 + ... + 24964.

It is an arithmetic number, because the mean of its divisors is an integer number (8883396).

Almost surely, 2223068352 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 223068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248735088).

223068352 is an abundant number, since it is smaller than the sum of its proper divisors (274401824).

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

223068352 is a wasteful number, since it uses less digits than its factorization.

223068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 223068352 is about 14935.4729419594. The cubic root of 223068352 is about 606.4746505518.

The spelling of 223068352 in words is "two hundred twenty-three million, sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2392 4784 9568 11657 19136 23314 46628 93256 151541 186512 268111 303082 373024 536222 606164 746048 1072444 1212328 2144888 2424656 3485443 4289776 4849312 6970886 8579552 9698624 13941772 17159104 27883544 55767088 111534176 223068352