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22000101200 = 24527111742017
BaseRepresentation
bin10100011111010011…
…101110011101010000
32002210020001221021222
4110133103232131100
5330024011214300
614035014304212
71406116526510
oct243723563520
962706057258
1022000101200
11936a535720
12431b958068
1320c7b8907c
1410c9ba9840
1588b64d785
hex51f4ee750

22000101200 has 240 divisors, whose sum is σ = 69775426944. Its totient is φ = 6453657600.

The previous prime is 22000101187. The next prime is 22000101209. The reversal of 22000101200 is 210100022.

Adding to 22000101200 its reverse (210100022), we get a palindrome (22210201222).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000101209) 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 47 ways as a sum of consecutive naturals, for example, 502592 + ... + 544608.

Almost surely, 222000101200 is an apocalyptic number.

22000101200 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 22000101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34887713472).

22000101200 is an abundant number, since it is smaller than the sum of its proper divisors (47775325744).

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

22000101200 is a wasteful number, since it uses less digits than its factorization.

22000101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42070 (or 42059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The spelling of 22000101200 in words is "twenty-two billion, one hundred one thousand, two hundred".