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28244163600 = 24325228012
BaseRepresentation
bin11010010011011110…
…111011110000010000
32200220101101011122100
4122103132323300100
5430321001213400
620550350240400
72016626300202
oct322336736020
980811334570
1028244163600
1110a84104174
125582ab6100
132881698a53
14151d18a772
15b048e6100
hex6937bbc10

28244163600 has 135 divisors (see below), whose sum is σ = 98050098679. Its totient is φ = 7529088000.

The previous prime is 28244163593. The next prime is 28244163641. The reversal of 28244163600 is 636144282.

The square root of 28244163600 is 168060.

It is a perfect power (a square), and thus also a powerful number.

28244163600 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 41 + 6 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 485937936 + 27758225664 = 22044^2 + 166608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10082200 + ... + 10085000.

Almost surely, 228244163600 is an apocalyptic number.

28244163600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28244163600 is the 168060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28244163600

28244163600 is an abundant number, since it is smaller than the sum of its proper divisors (69805935079).

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

28244163600 is an equidigital number, since it uses as much as digits as its factorization.

28244163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 28244163600 by its sum of digits (36), we get a square (1016789889600 = 10083602).

28244163600 divided by its sum of digits (36) gives a square (784560100 = 280102).

It can be divided in two parts, 28244 and 163600, that added together give a square (191844 = 4382).

The spelling of 28244163600 in words is "twenty-eight billion, two hundred forty-four million, one hundred sixty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 2801 3600 5602 8403 11204 14005 16806 22408 25209 28010 33612 42015 44816 50418 56020 67224 70025 84030 100836 112040 126045 134448 140050 168060 201672 210075 224080 252090 280100 336120 403344 420150 504180 560200 630225 672240 840300 1008360 1120400 1260450 1680600 2016720 2520900 3361200 5041800 7845601 10083600 15691202 23536803 31382404 39228005 47073606 62764808 70610409 78456010 94147212 117684015 125529616 141220818 156912020 188294424 196140025 235368030 282441636 313824040 353052045 376588848 392280050 470736060 564883272 588420075 627648080 706104090 784560100 941472120 1129766544 1176840150 1412208180 1569120200 1765260225 1882944240 2353680300 2824416360 3138240400 3530520450 4707360600 5648832720 7061040900 9414721200 14122081800 28244163600