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22024102100 = 225271113220021
BaseRepresentation
bin10100100000101111…
…010010000011010100
32002211220020022100012
4110200233102003110
5330101132231400
614041232535352
71406530531130
oct244057220324
962756208305
1022024102100
119382038980
1243279b1558
1320ccb405a0
1410cd0563c0
1588d7ded35
hex520bd20d4

22024102100 has 144 divisors (see below), whose sum is σ = 64168976256. Its totient is φ = 6336576000.

The previous prime is 22024102063. The next prime is 22024102109. The reversal of 22024102100 is 120142022.

It is a super-2 number, since 2×220241021002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024102109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9911 + ... + 210110.

Almost surely, 222024102100 is an apocalyptic number.

22024102100 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 22024102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32084488128).

22024102100 is an abundant number, since it is smaller than the sum of its proper divisors (42144874156).

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

22024102100 is a wasteful number, since it uses less digits than its factorization.

22024102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220066 (or 220059 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22024102100 its reverse (120142022), we get a palindrome (22144244122).

The spelling of 22024102100 in words is "twenty-two billion, twenty-four million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 220021 440042 880084 1100105 1540147 2200210 2420231 2860273 3080294 4400420 4840462 5500525 5720546 6160588 7700735 9680924 11001050 11441092 12101155 14301365 15401470 16941617 20021911 22002100 24202310 28602730 30802940 31463003 33883234 38503675 40043822 48404620 57205460 60505775 62926006 67766468 71506825 77007350 80087644 84708085 100109555 121011550 125852012 143013650 154014700 157315015 169416170 200219110 220241021 242023100 286027300 314630030 338832340 400438220 423540425 440482042 500547775 629260060 786575075 847080850 880964084 1001095550 1101205105 1573150150 1694161700 2002191100 2202410210 3146300300 4404820420 5506025525 11012051050 22024102100