Search a number
-
+
22416807200 = 255228021009
BaseRepresentation
bin10100111000001001…
…010101010100100000
32010212021011210110112
4110320021111110200
5331402200312300
614144221550452
71422336501014
oct247011252440
963767153415
1022416807200
119563781047
124417415428
1321632c9678
14112927c544
158b3011e35
hex538255520

22416807200 has 36 divisors (see below), whose sum is σ = 54725032530. Its totient is φ = 8966722560.

The previous prime is 22416807199. The next prime is 22416807229. The reversal of 22416807200 is 270861422.

It can be written as a sum of positive squares in 3 ways, for example, as 20769421456 + 1647385744 = 144116^2 + 40588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14009705 + ... + 14011304.

Almost surely, 222416807200 is an apocalyptic number.

22416807200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22416807200 is an abundant number, since it is smaller than the sum of its proper divisors (32308225330).

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

22416807200 is a wasteful number, since it uses less digits than its factorization.

22416807200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28021029 (or 28021016 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 22416807200 in words is "twenty-two billion, four hundred sixteen million, eight hundred seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 28021009 56042018 112084036 140105045 224168072 280210090 448336144 560420180 700525225 896672288 1120840360 1401050450 2241680720 2802100900 4483361440 5604201800 11208403600 22416807200