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230222322 = 232119711987
BaseRepresentation
bin11011011100011…
…10100111110010
3121001012111122200
431232032213302
5432414103242
634502244030
75463600051
oct1556164762
9531174580
10230222322
11108a55490
1265126616
1338909535
142280c398
151532904c
hexdb8e9f2

230222322 has 48 divisors (see below), whose sum is σ = 549817632. Its totient is φ = 69039360.

The previous prime is 230222299. The next prime is 230222327. The reversal of 230222322 is 223222032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230222295 and 230222304.

It is not an unprimeable number, because it can be changed into a prime (230222327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13213 + ... + 25199.

It is an arithmetic number, because the mean of its divisors is an integer number (11454534).

Almost surely, 2230222322 is an apocalyptic number.

230222322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230222322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274908816).

230222322 is an abundant number, since it is smaller than the sum of its proper divisors (319595310).

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

230222322 is a wasteful number, since it uses less digits than its factorization.

230222322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230222322 is about 15173.0788569756. The cubic root of 230222322 is about 612.8899170464.

Adding to 230222322 its reverse (223222032), we get a palindrome (453444354).

The spelling of 230222322 in words is "two hundred thirty million, two hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 6402 9603 11987 19206 23974 35961 71922 107883 131857 215766 263714 395571 791142 1162739 1186713 2325478 2373426 3488217 6976434 10464651 12790129 20929302 25580258 38370387 76740774 115111161 230222322