Search a number
-
+
22220110112200 = 235271113596130839
BaseRepresentation
bin1010000110101100001011…
…10001010010010111001000
32220200012222200022120220121
411003112011301102113020
510403023241142042300
6115131435550433024
74452231020430460
oct503260561222710
986605880276817
1022220110112200
11709754a976a60
1225aa4a5b02774
13c524692b6340
1456b65d978ba0
15287ee1a5481a
hex143585c525c8

22220110112200 has 768 divisors, whose sum is σ = 71698411008000. Its totient is φ = 6181415424000.

The previous prime is 22220110112041. The next prime is 22220110112219. The reversal of 22220110112200 is 221101102222.

It is a happy number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 720504381 + ... + 720535219.

It is an arithmetic number, because the mean of its divisors is an integer number (93357306000).

Almost surely, 222220110112200 is an apocalyptic number.

22220110112200 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 22220110112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35849205504000).

22220110112200 is an abundant number, since it is smaller than the sum of its proper divisors (49478300895800).

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

22220110112200 is a wasteful number, since it uses less digits than its factorization.

22220110112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31006 (or 30997 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22220110112200 its reverse (221101102222), we get a palindrome (22441211214422).

The spelling of 22220110112200 in words is "twenty-two trillion, two hundred twenty billion, one hundred ten million, one hundred twelve thousand, two hundred".