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22241430200 = 23521117956479
BaseRepresentation
bin10100101101101100…
…010100101010111000
32010102001011201110002
4110231230110222320
5331022301231300
614114555012132
71415110015553
oct245554245270
963361151402
1022241430200
119483786780
12438873a048
132135b83ab2
14110dc6969a
158a291d5d5
hex52db14ab8

22241430200 has 96 divisors (see below), whose sum is σ = 56728512000. Its totient is φ = 8042467200.

The previous prime is 22241430181. The next prime is 22241430223. The reversal of 22241430200 is 203414222.

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

It is a congruent number.

It is an unprimeable number.

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, 365561 + ... + 422039.

It is an arithmetic number, because the mean of its divisors is an integer number (590922000).

Almost surely, 222241430200 is an apocalyptic number.

22241430200 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 22241430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28364256000).

22241430200 is an abundant number, since it is smaller than the sum of its proper divisors (34487081800).

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

22241430200 is a wasteful number, since it uses less digits than its factorization.

22241430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56685 (or 56676 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22241430200 its reverse (203414222), we get a palindrome (22444844422).

The spelling of 22241430200 in words is "twenty-two billion, two hundred forty-one million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 179 200 220 275 358 440 550 716 895 1100 1432 1790 1969 2200 3580 3938 4475 7160 7876 8950 9845 15752 17900 19690 35800 39380 49225 56479 78760 98450 112958 196900 225916 282395 393800 451832 564790 621269 1129580 1242538 1411975 2259160 2485076 2823950 3106345 4970152 5647900 6212690 10109741 11295800 12425380 15531725 20219482 24850760 31063450 40438964 50548705 62126900 80877928 101097410 111207151 124253800 202194820 222414302 252743525 404389640 444828604 505487050 556035755 889657208 1010974100 1112071510 2021948200 2224143020 2780178775 4448286040 5560357550 11120715100 22241430200