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22300212220 = 225111319410383
BaseRepresentation
bin10100110001001100…
…100011101111111100
32010120010210011012221
4110301030203233330
5331132323242340
614124454535124
71416422450656
oct246114435774
963503704187
1022300212220
119503985560
1243a43674a4
1321450c5560
1411179ab6d6
158a7b8044a
hex531323bfc

22300212220 has 96 divisors (see below), whose sum is σ = 57913390080. Its totient is φ = 7091400960.

The previous prime is 22300212199. The next prime is 22300212223. The reversal of 22300212220 is 2221200322.

It is a junction number, because it is equal to n+sod(n) for n = 22300212194 and 22300212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150852 + ... + 259531.

It is an arithmetic number, because the mean of its divisors is an integer number (603264480).

Almost surely, 222300212220 is an apocalyptic number.

22300212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300212220 is an abundant number, since it is smaller than the sum of its proper divisors (35613177860).

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

22300212220 is a wasteful number, since it uses less digits than its factorization.

22300212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410435 (or 410433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22300212220 its reverse (2221200322), we get a palindrome (24521412542).

The spelling of 22300212220 in words is "twenty-two billion, three hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2470 2717 2860 4180 4940 5434 10868 13585 27170 54340 410383 820766 1641532 2051915 4103830 4514213 5334979 7797277 8207660 9028426 10669958 15594554 18056852 21339916 22571065 26674895 31189108 38986385 45142130 53349790 58684769 77972770 85770047 90284260 101364601 106699580 117369538 155945540 171540094 202729202 234739076 293423845 343080188 405458404 428850235 506823005 586847690 857700470 1013646010 1115010611 1173695380 1715400940 2027292020 2230021222 4460042444 5575053055 11150106110 22300212220