Search a number
-
+
22202022020200 = 2352114110117314087
BaseRepresentation
bin1010000110001010011111…
…01000101100010001101000
32220121111022002101022101021
411003011033220230101220
510402224220114121300
6115115245040102224
74451020542250411
oct503051750542150
986544262338337
1022202022020200
11708a9086967a0
1225a6a98304974
13c50845a51419
1456a82557a808
152877d3a99d1a
hex14314fa2c468

22202022020200 has 384 divisors, whose sum is σ = 58597926992640. Its totient is φ = 7752934400000.

The previous prime is 22202022020173. The next prime is 22202022020201. The reversal of 22202022020200 is 202022020222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22202022020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1576057557 + ... + 1576071643.

It is an arithmetic number, because the mean of its divisors is an integer number (152598768210).

Almost surely, 222202022020200 is an apocalyptic number.

22202022020200 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 22202022020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29298963496320).

22202022020200 is an abundant number, since it is smaller than the sum of its proper divisors (36395904972440).

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

22202022020200 is a wasteful number, since it uses less digits than its factorization.

22202022020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14429 (or 14420 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22202022020200 its reverse (202022020222), we get a palindrome (22404044040422).

The spelling of 22202022020200 in words is "twenty-two trillion, two hundred two billion, twenty-two million, twenty thousand, two hundred".