Search a number
-
+
22102220220120 = 2332561395056167
BaseRepresentation
bin1010000011010000100101…
…11111000010011011011000
32220020221200201200120022100
411001220102333002123120
510344110321334020440
6115001341513123400
74440555423041265
oct501502277023330
986227621616270
1022102220220120
117051554124187
12258b6849b9560
13c442cc318851
14565a7899026c
15284de1e61230
hex141a12fc26d8

22102220220120 has 48 divisors (see below), whose sum is σ = 71832215716560. Its totient is φ = 5893925391936.

The previous prime is 22102220220107. The next prime is 22102220220163. The reversal of 22102220220120 is 2102202220122.

22102220220120 is a `hidden beast` number, since 2 + 2 + 102 + 220 + 220 + 120 = 666.

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 = 22102220220093 and 22102220220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30697527724 + ... + 30697528443.

It is an arithmetic number, because the mean of its divisors is an integer number (1496504494095).

Almost surely, 222102220220120 is an apocalyptic number.

22102220220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102220220120 is an abundant number, since it is smaller than the sum of its proper divisors (49729995496440).

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

22102220220120 is a wasteful number, since it uses less digits than its factorization.

22102220220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61395056184 (or 61395056177 counting only the distinct ones).

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

Adding to 22102220220120 its reverse (2102202220122), we get a palindrome (24204422440242).

The spelling of 22102220220120 in words is "twenty-two trillion, one hundred two billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 61395056167 122790112334 184185168501 245580224668 306975280835 368370337002 491160449336 552555505503 613950561670 736740674004 920925842505 1105111011006 1227901123340 1473481348008 1841851685010 2210222022012 2455802246680 2762777527515 3683703370020 4420444044024 5525555055030 7367406740040 11051110110060 22102220220120