Search a number
-
+
22002112022220 = 223451117611190633
BaseRepresentation
bin1010000000010110001000…
…00100100100011011001100
32212220101022000110012110000
411000023010010210123030
510340440311134202340
6114443344123044300
74430412563305101
oct500130404443314
985811260405400
1022002112022220
117013052708430
1225741a6970690
13c37a372850a5
14560c9d406aa8
152824d34a2d30
hex1402c41246cc

22002112022220 has 480 divisors, whose sum is σ = 81032340223296. Its totient is φ = 4937789030400.

The previous prime is 22002112022183. The next prime is 22002112022257. The reversal of 22002112022220 is 2222021120022.

22002112022220 is a `hidden beast` number, since 220 + 0 + 21 + 1 + 202 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (22002112022183) and next prime (22002112022257).

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 = 22002112022193 and 22002112022202.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17884024 + ... + 19074656.

Almost surely, 222002112022220 is an apocalyptic number.

22002112022220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002112022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40516170111648).

22002112022220 is an abundant number, since it is smaller than the sum of its proper divisors (59030228201076).

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

22002112022220 is a wasteful number, since it uses less digits than its factorization.

22002112022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190743 (or 1190732 counting only the distinct ones).

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

Adding to 22002112022220 its reverse (2222021120022), we get a palindrome (24224133142242).

The spelling of 22002112022220 in words is "twenty-two trillion, two billion, one hundred twelve million, twenty-two thousand, two hundred twenty".