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22135500 = 2232534919
BaseRepresentation
bin101010001110…
…0001011001100
31112122121012100
41110130023030
521131314000
62110235100
7356101662
oct124341314
945577170
1022135500
1111549802
1274b5a90
13478043a
142d22c32
151e23a00
hex151c2cc

22135500 has 72 divisors (see below), whose sum is σ = 69844320. Its totient is φ = 5901600.

The previous prime is 22135493. The next prime is 22135507. The reversal of 22135500 is 553122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22135493) and next prime (22135507).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22135507) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2041 + ... + 6959.

It is an arithmetic number, because the mean of its divisors is an integer number (970060).

Almost surely, 222135500 is an apocalyptic number.

22135500 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 22135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34922160).

22135500 is an abundant number, since it is smaller than the sum of its proper divisors (47708820).

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

22135500 is a wasteful number, since it uses less digits than its factorization.

22135500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 22135500 is about 4704.8379355723. The cubic root of 22135500 is about 280.7780232149.

Adding to 22135500 its reverse (553122), we get a palindrome (22688622).

It can be divided in two parts, 221 and 35500, that added together give a square (35721 = 1892).

The spelling of 22135500 in words is "twenty-two million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 4919 9838 14757 19676 24595 29514 44271 49190 59028 73785 88542 98380 122975 147570 177084 221355 245950 295140 368925 442710 491900 614875 737850 885420 1106775 1229750 1475700 1844625 2213550 2459500 3689250 4427100 5533875 7378500 11067750 22135500