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22225500 = 22325311449
BaseRepresentation
bin101010011001…
…0001001011100
31112211011122200
41110302021130
521142204000
62112211500
7356625243
oct124621134
945734580
1022225500
1111600390
127539b90
1347b23ab
142d4795a
151e40500
hex153225c

22225500 has 144 divisors (see below), whose sum is σ = 76658400. Its totient is φ = 5376000.

The previous prime is 22225499. The next prime is 22225517. The reversal of 22225500 is 552222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49276 + ... + 49724.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 222225500 is an apocalyptic number.

22225500 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 22225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329200).

22225500 is an abundant number, since it is smaller than the sum of its proper divisors (54432900).

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

22225500 is a wasteful number, since it uses less digits than its factorization.

22225500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22225500 is about 4714.3928559254. The cubic root of 22225500 is about 281.1580440119.

Adding to 22225500 its reverse (552222), we get a palindrome (22777722).

It can be divided in two parts, 22 and 225500, that added together give a palindrome (225522).

The spelling of 22225500 in words is "twenty-two million, two hundred twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 449 450 495 500 550 660 750 825 898 900 990 1100 1125 1347 1375 1500 1650 1796 1980 2245 2250 2475 2694 2750 3300 4041 4125 4490 4500 4939 4950 5388 5500 6735 8082 8250 8980 9878 9900 11225 12375 13470 14817 16164 16500 19756 20205 22450 24695 24750 26940 29634 33675 40410 44451 44900 49390 49500 56125 59268 67350 74085 80820 88902 98780 101025 112250 123475 134700 148170 168375 177804 202050 222255 224500 246950 296340 336750 370425 404100 444510 493900 505125 617375 673500 740850 889020 1010250 1111275 1234750 1481700 1852125 2020500 2222550 2469500 3704250 4445100 5556375 7408500 11112750 22225500