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22023220221100 = 2252725233858883
BaseRepresentation
bin1010000000111101011100…
…01101111101010010101100
32212222101210002020210202201
411000132232031331102230
510341312023334033400
6114501154441031244
74432060633113400
oct500365615752254
985871702223681
1022023220221100
117020aa474169a
1225782b7a85524
13c39a1c4214b7
14561d02963100
15282d1b67406a
hex1407ae37d4ac

22023220221100 has 108 divisors (see below), whose sum is σ = 55603588449864. Its totient is φ = 7549366648320.

The previous prime is 22023220221083. The next prime is 22023220221109. The reversal of 22023220221100 is 112202232022.

It is not an unprimeable number, because it can be changed into a prime (22023220221109) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 25212259 + ... + 26071141.

Almost surely, 222023220221100 is an apocalyptic number.

22023220221100 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 22023220221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27801794224932).

22023220221100 is an abundant number, since it is smaller than the sum of its proper divisors (33580368228764).

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

22023220221100 is a wasteful number, since it uses less digits than its factorization.

22023220221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864144 (or 864130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22023220221100 its reverse (112202232022), we get a palindrome (22135422453122).

The spelling of 22023220221100 in words is "twenty-two trillion, twenty-three billion, two hundred twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 5233 10466 20932 26165 36631 52330 73262 104660 130825 146524 183155 256417 261650 366310 512834 523300 732620 858883 915775 1025668 1282085 1717766 1831550 2564170 3435532 3663100 4294415 5128340 6012181 6410425 8588830 12024362 12820850 17177660 21472075 24048724 25641700 30060905 42085267 42944150 60121810 84170534 85888300 120243620 150304525 168341068 210426335 300609050 420852670 601218100 841705340 1052131675 2104263350 4208526700 4494534739 8989069478 17978138956 22472673695 31461743173 44945347390 62923486346 89890694780 112363368475 125846972692 157308715865 220232202211 224726736950 314617431730 440464404422 449453473900 629234863460 786543579325 880928808844 1101161011055 1573087158650 2202322022110 3146174317300 4404644044220 5505805055275 11011610110550 22023220221100