Search a number
-
+
20022222202200 = 233252173753333667
BaseRepresentation
bin1001000110101110010010…
…11100010010010101011000
32121220002212002110100020200
410203113021130102111120
510111021002340432300
6110330025405022200
74134362221435251
oct443271134222530
977802762410220
1020022222202200
11641a4165004a9
1222b4535854960
13b2311a1948ca
144d311b71db28
1524ac55c57200
hex1235c9712558

20022222202200 has 576 divisors, whose sum is σ = 74500763744160. Its totient is φ = 4797102735360.

The previous prime is 20022222202133. The next prime is 20022222202247. The reversal of 20022222202200 is 220222222002.

20022222202200 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 222 + 220 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59839767 + ... + 60173433.

Almost surely, 220022222202200 is an apocalyptic number.

20022222202200 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 20022222202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37250381872080).

20022222202200 is an abundant number, since it is smaller than the sum of its proper divisors (54478541541960).

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

20022222202200 is a wasteful number, since it uses less digits than its factorization.

20022222202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333796 (or 333784 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20022222202200 its reverse (220222222002), we get a palindrome (20242444424202).

It can be divided in two parts, 20022 and 222202200, that added together give a palindrome (222222222).

The spelling of 20022222202200 in words is "twenty trillion, twenty-two billion, two hundred twenty-two million, two hundred two thousand, two hundred".