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1223130220 = 2251322920543
BaseRepresentation
bin100100011100111…
…0111110001101100
310011020112110020021
41020321313301230
510001110131340
6321211531524
742211302214
oct11071676154
93136473207
101223130220
11578474924
122a1759ba4
131665325c0
14b8631244
15725a8e4a
hex48e77c6c

1223130220 has 48 divisors (see below), whose sum is σ = 2778370560. Its totient is φ = 449623296.

The previous prime is 1223130199. The next prime is 1223130221. The reversal of 1223130220 is 220313221.

It is a junction number, because it is equal to n+sod(n) for n = 1223130194 and 1223130203.

It is not an unprimeable number, because it can be changed into a prime (1223130221) 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 15 ways as a sum of consecutive naturals, for example, 49269 + ... + 69811.

It is an arithmetic number, because the mean of its divisors is an integer number (57882720).

Almost surely, 21223130220 is an apocalyptic number.

1223130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389185280).

1223130220 is an abundant number, since it is smaller than the sum of its proper divisors (1555240340).

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

1223130220 is a wasteful number, since it uses less digits than its factorization.

1223130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20794 (or 20792 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1223130220 is about 34973.2786567116. The cubic root of 1223130220 is about 1069.4428111912.

Adding to 1223130220 its reverse (220313221), we get a palindrome (1443443441).

The spelling of 1223130220 in words is "one billion, two hundred twenty-three million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 4580 5954 11908 14885 20543 29770 41086 59540 82172 102715 205430 267059 410860 534118 1068236 1335295 2670590 4704347 5341180 9408694 18817388 23521735 47043470 61156511 94086940 122313022 244626044 305782555 611565110 1223130220