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5206226600 = 2352241108013
BaseRepresentation
bin1001101100101000…
…01011011010101000
3111102211102201021102
410312110023122220
541130243222400
62220335300532
7243005124131
oct46624133250
914384381242
105206226600
112231863113
12101367a748
1364c7b6073
14375624c88
152070e09d5
hex13650b6a8

5206226600 has 48 divisors (see below), whose sum is σ = 12154815420. Its totient is φ = 2073830400.

The previous prime is 5206226581. The next prime is 5206226633. The reversal of 5206226600 is 66226025.

It can be written as a sum of positive squares in 6 ways, for example, as 3260181604 + 1946044996 = 57098^2 + 44114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5807 + ... + 102206.

Almost surely, 25206226600 is an apocalyptic number.

5206226600 is a gapful number since it is divisible by the number (50) 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 5206226600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077407710).

5206226600 is an abundant number, since it is smaller than the sum of its proper divisors (6948588820).

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

5206226600 is a wasteful number, since it uses less digits than its factorization.

5206226600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108270 (or 108261 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5206226600 is about 72154.1862957375. The cubic root of 5206226600 is about 1733.1694379879.

The spelling of 5206226600 in words is "five billion, two hundred six million, two hundred twenty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 2410 4820 6025 9640 12050 24100 48200 108013 216026 432052 540065 864104 1080130 2160260 2700325 4320520 5400650 10801300 21602600 26031133 52062266 104124532 130155665 208249064 260311330 520622660 650778325 1041245320 1301556650 2603113300 5206226600