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1130222220 = 22351719292011
BaseRepresentation
bin100001101011101…
…1101001010001100
32220202201020102020
41003113131022030
54303314102340
6304052330140
740002505341
oct10327351214
92822636366
101130222220
1152aa87756
12276613950
13150202b5a
14aa1687c8
15693559d0
hex435dd28c

1130222220 has 192 divisors, whose sum is σ = 3650572800. Its totient is φ = 259338240.

The previous prime is 1130222209. The next prime is 1130222221. The reversal of 1130222220 is 222220311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130222220.

It is not an unprimeable number, because it can be changed into a prime (1130222221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561015 + ... + 563025.

It is an arithmetic number, because the mean of its divisors is an integer number (19013400).

Almost surely, 21130222220 is an apocalyptic number.

1130222220 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 1130222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825286400).

1130222220 is an abundant number, since it is smaller than the sum of its proper divisors (2520350580).

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

1130222220 is a wasteful number, since it uses less digits than its factorization.

1130222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1130222220 is about 33618.7777886109. Note that the first 4 decimals coincide. The cubic root of 1130222220 is about 1041.6487101189.

Adding to 1130222220 its reverse (222220311), we get a palindrome (1352442531).

The spelling of 1130222220 in words is "one billion, one hundred thirty million, two hundred twenty-two thousand, two hundred twenty".