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8222420220 = 22357118716493
BaseRepresentation
bin1111010100001100…
…00010110011111100
3210020000221020002020
413222012002303330
5113314414421340
63435523000140
7410521263420
oct75206026374
923200836066
108222420220
11353a384013
121715809050
13a1064a311
14580044b80
15331cd29d0
hex1ea182cfc

8222420220 has 96 divisors (see below), whose sum is σ = 26335507968. Its totient is φ = 1877713152.

The previous prime is 8222420197. The next prime is 8222420231. The reversal of 8222420220 is 220242228.

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 31 ways as a sum of consecutive naturals, for example, 490294 + ... + 506786.

It is an arithmetic number, because the mean of its divisors is an integer number (274328208).

Almost surely, 28222420220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8222420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167753984).

8222420220 is an abundant number, since it is smaller than the sum of its proper divisors (18113087748).

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

8222420220 is a wasteful number, since it uses less digits than its factorization.

8222420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17699 (or 17697 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 8222420220 is about 90677.5618331239. The cubic root of 8222420220 is about 2018.3658498723.

Adding to 8222420220 its reverse (220242228), we get a palindrome (8442662448).

The spelling of 8222420220 in words is "eight billion, two hundred twenty-two million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1187 2374 3561 4748 5935 7122 8309 11870 14244 16493 16618 17805 23740 24927 32986 33236 35610 41545 49479 49854 65972 71220 82465 83090 98958 99708 115451 124635 164930 166180 197916 230902 247395 249270 329860 346353 461804 494790 498540 577255 692706 989580 1154510 1385412 1731765 2309020 3463530 6927060 19577191 39154382 58731573 78308764 97885955 117463146 137040337 195771910 234926292 274080674 293657865 391543820 411121011 548161348 587315730 685201685 822242022 1174631460 1370403370 1644484044 2055605055 2740806740 4111210110 8222420220