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22202130000 = 243542321399
BaseRepresentation
bin10100101011010110…
…011001111001010000
32010022022020001201010
4110223112121321100
5330432221130000
614111032410520
71414121663661
oct245326317120
963268201633
1022202130000
119463583976
124377546a40
13212a9a393b
141108959368
1589e258d50
hex52b599e50

22202130000 has 300 divisors, whose sum is σ = 74976624800. Its totient is φ = 5659104000.

The previous prime is 22202129993. The next prime is 22202130001. The reversal of 22202130000 is 3120222.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202130001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 15869301 + ... + 15870699.

Almost surely, 222202130000 is an apocalyptic number.

22202130000 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 22202130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37488312400).

22202130000 is an abundant number, since it is smaller than the sum of its proper divisors (52774494800).

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

22202130000 is a wasteful number, since it uses less digits than its factorization.

22202130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22202130000 its reverse (3120222), we get a palindrome (22205250222).

The spelling of 22202130000 in words is "twenty-two billion, two hundred two million, one hundred thirty thousand".