Search a number
-
+
2218050000 = 2433553153
BaseRepresentation
bin1000010000110100…
…1100000111010000
312201120122121121000
42010031030013100
514020310100000
61004032302000
7105652054035
oct20415140720
95646577530
102218050000
11a39038881
1251a9a1900
132946b132a
1417081938c
15cead5000
hex8434c1d0

2218050000 has 480 divisors, whose sum is σ = 8369464320. Its totient is φ = 561600000.

The previous prime is 2218049983. The next prime is 2218050001. The reversal of 2218050000 is 508122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218050001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41849974 + ... + 41850026.

It is an arithmetic number, because the mean of its divisors is an integer number (17436384).

Almost surely, 22218050000 is an apocalyptic number.

2218050000 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 2218050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184732160).

2218050000 is an abundant number, since it is smaller than the sum of its proper divisors (6151414320).

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

2218050000 is an equidigital number, since it uses as much as digits as its factorization.

2218050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2218050000 is about 47096.1781888934. The cubic root of 2218050000 is about 1304.1386838587.

Adding to 2218050000 its reverse (508122), we get a palindrome (2218558122).

The spelling of 2218050000 in words is "two billion, two hundred eighteen million, fifty thousand".