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22122220122 = 23317191281449
BaseRepresentation
bin10100100110100101…
…100100101001011010
32010002201212012222000
4110212211210221122
5330301242020442
614055055541430
71412131524402
oct244645445132
963081765860
1022122220122
119422464452
12435482a876
1321172755a2
1410dc0b7802
15897221d4c
hex526964a5a

22122220122 has 128 divisors (see below), whose sum is σ = 52627968000. Its totient is φ = 6864076800.

The previous prime is 22122220121. The next prime is 22122220123. The reversal of 22122220122 is 22102222122.

22122220122 is a `hidden beast` number, since 221 + 222 + 201 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (22122220121) and next prime (22122220123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22122220095 and 22122220104.

It is not an unprimeable number, because it can be changed into a prime (22122220121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49269754 + ... + 49270202.

It is an arithmetic number, because the mean of its divisors is an integer number (411156000).

Almost surely, 222122220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26313984000).

22122220122 is an abundant number, since it is smaller than the sum of its proper divisors (30505747878).

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

22122220122 is a wasteful number, since it uses less digits than its factorization.

22122220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22122220122 its reverse (22102222122), we get a palindrome (44224442244).

The spelling of 22122220122 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 191 281 306 382 449 459 562 573 843 898 918 1146 1347 1686 1719 2529 2694 3247 3438 4041 4777 5058 5157 6494 7587 7633 8082 9554 9741 10314 12123 14331 15174 15266 19482 22899 24246 28662 29223 42993 45798 53671 58446 68697 85759 85986 87669 107342 126169 128979 137394 161013 171518 175338 206091 252338 257277 257958 322026 378507 412182 483039 514554 757014 771831 912407 966078 1135521 1449117 1457903 1543662 1824814 2144873 2271042 2315493 2737221 2898234 2915806 3406563 4289746 4373709 4630986 5474442 6434619 6813126 8211663 8747418 12869238 13121127 16423326 19303857 24098279 24634989 26242254 38607714 39363381 48196558 49269978 57911571 72294837 78726762 115823142 144589674 216884511 409670743 433769022 650653533 819341486 1229012229 1301307066 2458024458 3687036687 7374073374 11061110061 22122220122