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20220019218 = 23272913814007
BaseRepresentation
bin10010110101001101…
…010000001000010010
31221012011112101212200
4102311031100020102
5312402311103333
613142225104030
71314033220230
oct226515201022
957164471780
1020220019218
118636745793
123b03788016
131ba3151019
14d9b5d9950
157d522bc13
hex4b5350212

20220019218 has 96 divisors (see below), whose sum is σ = 51845564160. Its totient is φ = 5572506240.

The previous prime is 20220019217. The next prime is 20220019219. The reversal of 20220019218 is 81291002202.

It is an interprime number because it is at equal distance from previous prime (20220019217) and next prime (20220019219).

It is a junction number, because it is equal to n+sod(n) for n = 20220019191 and 20220019200.

It is not an unprimeable number, because it can be changed into a prime (20220019217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5044171 + ... + 5048177.

It is an arithmetic number, because the mean of its divisors is an integer number (540057960).

Almost surely, 220220019218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220019218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25922782080).

20220019218 is an abundant number, since it is smaller than the sum of its proper divisors (31625544942).

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

20220019218 is a wasteful number, since it uses less digits than its factorization.

20220019218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 20220019218 in words is "twenty billion, two hundred twenty million, nineteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1381 1827 2762 3654 4007 4143 8014 8286 9667 12021 12429 19334 24042 24858 28049 29001 36063 40049 56098 58002 72126 80098 84147 87003 116203 120147 168294 174006 232406 240294 252441 280343 348609 360441 504882 560686 697218 720882 813421 841029 1045827 1626842 1682058 2091654 2440263 2523087 4880526 5046174 5533667 7320789 11067334 14641578 16601001 33202002 38735669 49803003 77471338 99606006 116207007 160476343 232414014 320952686 348621021 481429029 697242042 962858058 1123334401 1444287087 2246668802 2888574174 3370003203 6740006406 10110009609 20220019218