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22040200 = 23527213173
BaseRepresentation
bin101010000010…
…0111010001000
31112110202110201
41110010322020
521120241300
62104221544
7355224100
oct124047210
945422421
1022040200
1111494146
12746a8b4
134748c50
142cda200
151e0566a
hex1504e88

22040200 has 144 divisors (see below), whose sum is σ = 64566180. Its totient is φ = 6935040.

The previous prime is 22040191. The next prime is 22040219. The reversal of 22040200 is 204022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8892324 + 13147876 = 2982^2 + 3626^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127314 + ... + 127486.

Almost surely, 222040200 is an apocalyptic number.

22040200 is a gapful number since it is divisible by the number (20) 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 22040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32283090).

22040200 is an abundant number, since it is smaller than the sum of its proper divisors (42525980).

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

22040200 is a wasteful number, since it uses less digits than its factorization.

22040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 22040200 is about 4694.6991383900. The cubic root of 22040200 is about 280.3744988859.

Adding to 22040200 its reverse (204022), we get a palindrome (22244222).

It can be divided in two parts, 2 and 2040200, that multiplied together give a square (4080400 = 20202).

The spelling of 22040200 in words is "twenty-two million, forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 173 175 182 196 200 245 260 280 325 346 350 364 392 455 490 520 637 650 692 700 728 865 910 980 1211 1225 1274 1300 1384 1400 1730 1820 1960 2249 2275 2422 2450 2548 2600 3185 3460 3640 4325 4498 4550 4844 4900 5096 6055 6370 6920 8477 8650 8996 9100 9688 9800 11245 12110 12740 15743 15925 16954 17300 17992 18200 22490 24220 25480 30275 31486 31850 33908 34600 42385 44980 48440 56225 60550 62972 63700 67816 78715 84770 89960 110201 112450 121100 125944 127400 157430 169540 211925 220402 224900 242200 314860 339080 393575 423850 440804 449800 551005 629720 787150 847700 881608 1102010 1574300 1695400 2204020 2755025 3148600 4408040 5510050 11020100 22040200