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22002203100 = 22352417922643
BaseRepresentation
bin10100011111011011…
…101111100111011100
32002210101000201120010
4110133123233213130
5330030030444400
614035131323220
71406143432503
oct243733574734
962711021503
1022002203100
119370740929
1243205b0510
1320c84439b7
1410ca19583a
1588b916450
hex51f6ef9dc

22002203100 has 144 divisors (see below), whose sum is σ = 66040773120. Its totient is φ = 5651443200.

The previous prime is 22002203099. The next prime is 22002203147. The reversal of 22002203100 is 130220022.

It is a super-2 number, since 2×220022031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960379 + ... + 983021.

It is an arithmetic number, because the mean of its divisors is an integer number (458616480).

Almost surely, 222002203100 is an apocalyptic number.

22002203100 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 22002203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33020386560).

22002203100 is an abundant number, since it is smaller than the sum of its proper divisors (44038570020).

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

22002203100 is a wasteful number, since it uses less digits than its factorization.

22002203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22780 (or 22773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22002203100 its reverse (130220022), we get a palindrome (22132423122).

The spelling of 22002203100 in words is "twenty-two billion, two million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 79 82 100 123 150 158 164 205 237 246 300 316 395 410 474 492 615 790 820 948 1025 1185 1230 1580 1975 2050 2370 2460 3075 3239 3950 4100 4740 5925 6150 6478 7900 9717 11850 12300 12956 16195 19434 22643 23700 32390 38868 45286 48585 64780 67929 80975 90572 97170 113215 135858 161950 194340 226430 242925 271716 323900 339645 452860 485850 566075 679290 928363 971700 1132150 1358580 1698225 1788797 1856726 2264300 2785089 3396450 3577594 3713452 4641815 5366391 5570178 6792900 7155188 8943985 9283630 10732782 11140356 13925445 17887970 18567260 21465564 23209075 26831955 27850890 35775940 44719925 46418150 53663910 55701780 69627225 73340677 89439850 92836300 107327820 134159775 139254450 146681354 178879700 220022031 268319550 278508900 293362708 366703385 440044062 536639100 733406770 880088124 1100110155 1466813540 1833516925 2200220310 3667033850 4400440620 5500550775 7334067700 11001101550 22002203100