Search a number
-
+
22202002211200 = 275273532807821
BaseRepresentation
bin1010000110001010011100…
…11101001000000110000000
32220121111020201002220112121
411003011032131020012000
510402224200031224300
6115115243051334024
74451020212005260
oct503051635100600
986544221086477
1022202002211200
11708a8a8496a19
1225a6a91751314
13c50841906c16
1456a822aa17a0
152877d1e8581a
hex14314e748180

22202002211200 has 192 divisors, whose sum is σ = 62858598801120. Its totient is φ = 7590548275200.

The previous prime is 22202002211159. The next prime is 22202002211203. The reversal of 22202002211200 is 211220020222.

It is a super-2 number, since 2×222020022112002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202002211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6503290 + ... + 9311110.

Almost surely, 222202002211200 is an apocalyptic number.

22202002211200 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 22202002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31429299400560).

22202002211200 is an abundant number, since it is smaller than the sum of its proper divisors (40656596589920).

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

22202002211200 is a wasteful number, since it uses less digits than its factorization.

22202002211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808205 (or 2808188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22202002211200 its reverse (211220020222), we get a palindrome (22413222231422).

The spelling of 22202002211200 in words is "twenty-two trillion, two hundred two billion, two million, two hundred eleven thousand, two hundred".