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22290500 = 2253109409
BaseRepresentation
bin101010100001…
…0000001000100
31112221110211002
41111002001010
521201244000
62113432432
7360315611
oct125020104
945843732
1022290500
1111645201
12756b718
134805b5b
142d63508
151e548d5
hex1542044

22290500 has 48 divisors (see below), whose sum is σ = 49249200. Its totient is φ = 8812800.

The previous prime is 22290497. The next prime is 22290509. The reversal of 22290500 is 509222.

It can be written as a sum of positive squares in 8 ways, for example, as 1478656 + 20811844 = 1216^2 + 4562^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22290509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54296 + ... + 54704.

It is an arithmetic number, because the mean of its divisors is an integer number (1026025).

Almost surely, 222290500 is an apocalyptic number.

22290500 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 22290500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624600).

22290500 is an abundant number, since it is smaller than the sum of its proper divisors (26958700).

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

22290500 is a wasteful number, since it uses less digits than its factorization.

22290500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 22290500 is about 4721.2816056660. The cubic root of 22290500 is about 281.4318659130.

Adding to 22290500 its reverse (509222), we get a palindrome (22799722).

The spelling of 22290500 in words is "twenty-two million, two hundred ninety thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 250 409 436 500 545 818 1090 1636 2045 2180 2725 4090 5450 8180 10225 10900 13625 20450 27250 40900 44581 51125 54500 89162 102250 178324 204500 222905 445810 891620 1114525 2229050 4458100 5572625 11145250 22290500