Search a number
-
+
20220222112200 = 233252112394272901
BaseRepresentation
bin1001001100011111000110…
…01010000000000111001000
32122121000221001012221001200
410212033203022000013020
510122242003330042300
6111001013010144200
74154601645054135
oct446174312000710
978530831187050
1020220222112200
116496391273460
122326993582060
13b389b3007776
144dc941d2158c
15250e937ec200
hex1263e32801c8

20220222112200 has 288 divisors, whose sum is σ = 74389514659200. Its totient is φ = 4881360960000.

The previous prime is 20220222112187. The next prime is 20220222112217. The reversal of 20220222112200 is 221122202202.

20220222112200 is a `hidden beast` number, since 2 + 0 + 220 + 2 + 221 + 1 + 220 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 2595750 + ... + 6868650.

It is an arithmetic number, because the mean of its divisors is an integer number (258296925900).

Almost surely, 220220222112200 is an apocalyptic number.

20220222112200 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 20220222112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37194757329600).

20220222112200 is an abundant number, since it is smaller than the sum of its proper divisors (54169292547000).

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

20220222112200 is a wasteful number, since it uses less digits than its factorization.

20220222112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273173 (or 4273161 counting only the distinct ones).

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

Adding to 20220222112200 its reverse (221122202202), we get a palindrome (20441344314402).

The spelling of 20220222112200 in words is "twenty trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twelve thousand, two hundred".