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130022816 = 2571152769
BaseRepresentation
bin1111011111111…
…11110110100000
3100001122211202212
413233333312200
5231241212231
620522501252
73136114160
oct757776640
9301584685
10130022816
1167438080
1237664828
1320c25ca1
14133a85a0
15b63542b
hex7bffda0

130022816 has 48 divisors (see below), whose sum is σ = 319152960. Its totient is φ = 50657280.

The previous prime is 130022803. The next prime is 130022831. The reversal of 130022816 is 618220031.

It is a junction number, because it is equal to n+sod(n) for n = 130022791 and 130022800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23921 + ... + 28848.

It is an arithmetic number, because the mean of its divisors is an integer number (6649020).

Almost surely, 2130022816 is an apocalyptic number.

130022816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130022816 is an abundant number, since it is smaller than the sum of its proper divisors (189130144).

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

130022816 is a wasteful number, since it uses less digits than its factorization.

130022816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52797 (or 52789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 130022816 is about 11402.7547548827. The cubic root of 130022816 is about 506.6093363879.

Adding to 130022816 its reverse (618220031), we get a palindrome (748242847).

The spelling of 130022816 in words is "one hundred thirty million, twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 52769 105538 211076 369383 422152 580459 738766 844304 1160918 1477532 1688608 2321836 2955064 4063213 4643672 5910128 8126426 9287344 11820256 16252852 18574688 32505704 65011408 130022816