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1130222520 = 2332572411861
BaseRepresentation
bin100001101011101…
…1101001110111000
32220202201020211100
41003113131032320
54303314110040
6304052331400
740002506250
oct10327351670
92822636740
101130222520
1152aa879a9
12276613b60
1315020302b
14aa168960
1569355b30
hex435dd3b8

1130222520 has 192 divisors, whose sum is σ = 4217653440. Its totient is φ = 257126400.

The previous prime is 1130222519. The next prime is 1130222549. The reversal of 1130222520 is 252220311.

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 = 1130222493 and 1130222502.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 606390 + ... + 608250.

It is an arithmetic number, because the mean of its divisors is an integer number (21966945).

Almost surely, 21130222520 is an apocalyptic number.

1130222520 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 1130222520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108826720).

1130222520 is an abundant number, since it is smaller than the sum of its proper divisors (3087430920).

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

1130222520 is a wasteful number, since it uses less digits than its factorization.

1130222520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1130222520 is about 33618.7822504028. The cubic root of 1130222520 is about 1041.6488022821.

Adding to 1130222520 its reverse (252220311), we get a palindrome (1382442831).

The spelling of 1130222520 in words is "one billion, one hundred thirty million, two hundred twenty-two thousand, five hundred twenty".