Search a number
-
+
202212220000 = 2554744211
BaseRepresentation
bin1011110001010011001…
…0011001110001100000
3201022221111222002211111
42330110302121301200
511303112312020000
6232521153353104
720416002340000
oct2742462316140
9638844862744
10202212220000
117883758789a
1233234568794
13160b773b9ab
149b03c20000
1553d77a6cba
hex2f14c99c60

202212220000 has 300 divisors, whose sum is σ = 580487743836. Its totient is φ = 69313440000.

The previous prime is 202212219997. The next prime is 202212220013. The reversal of 202212220000 is 22212202.

It is a congruent number.

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 49 ways as a sum of consecutive naturals, for example, 48017895 + ... + 48022105.

Almost surely, 2202212220000 is an apocalyptic number.

202212220000 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 202212220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290243871918).

202212220000 is an abundant number, since it is smaller than the sum of its proper divisors (378275523836).

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

202212220000 is an frugal number, since it uses more digits than its factorization.

202212220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202212220000 its reverse (22212202), we get a palindrome (202234432202).

The spelling of 202212220000 in words is "two hundred two billion, two hundred twelve million, two hundred twenty thousand".