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22032242300 = 22521961190097
BaseRepresentation
bin10100100001001110…
…010101011001111100
32002212110112212121002
4110201032111121330
5330110223223200
614042123225432
71406656653365
oct244116253174
962773485532
1022032242300
119386698812
12432a678278
132101730783
1410d0174b6c
1588e39bbd5
hex52139567c

22032242300 has 72 divisors (see below), whose sum is σ = 51151569840. Its totient is φ = 8212147200.

The previous prime is 22032242251. The next prime is 22032242303. The reversal of 22032242300 is 324223022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22032242303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20852 + ... + 210948.

It is an arithmetic number, because the mean of its divisors is an integer number (710438470).

Almost surely, 222032242300 is an apocalyptic number.

22032242300 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 22032242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25575784920).

22032242300 is an abundant number, since it is smaller than the sum of its proper divisors (29119327540).

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

22032242300 is a wasteful number, since it uses less digits than its factorization.

22032242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190191 (or 190184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22032242300 its reverse (324223022), we get a palindrome (22356465322).

The spelling of 22032242300 in words is "twenty-two billion, thirty-two million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 61 76 95 100 122 190 244 305 380 475 610 950 1159 1220 1525 1900 2318 3050 4636 5795 6100 11590 23180 28975 57950 115900 190097 380194 760388 950485 1900970 3611843 3801940 4752425 7223686 9504850 11595917 14447372 18059215 19009700 23191834 36118430 46383668 57979585 72236860 90296075 115959170 180592150 220322423 231918340 289897925 361184300 440644846 579795850 881289692 1101612115 1159591700 2203224230 4406448460 5508060575 11016121150 22032242300