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221130000000 = 273557713
BaseRepresentation
bin1100110111110001100…
…0000000011010000000
3210010202221002220100000
43031330120000122000
512110333240000000
6245330303200000
721655543662360
oct3157430003200
9703687086300
10221130000000
1185865135a18
1236a33ba6000
1317b10b4c760
14a9ba4b49a0
155b43500000
hex337c600680

221130000000 has 1536 divisors, whose sum is σ = 1015216151040. Its totient is φ = 46656000000.

The previous prime is 221129999971. The next prime is 221130000023. The reversal of 221130000000 is 31122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9750 × 9450 × 2400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17009999994 + ... + 17010000006.

It is an arithmetic number, because the mean of its divisors is an integer number (660948015).

Almost surely, 2221130000000 is an apocalyptic number.

221130000000 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 221130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507608075520).

221130000000 is an abundant number, since it is smaller than the sum of its proper divisors (794086151040).

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

221130000000 is an frugal number, since it uses more digits than its factorization.

221130000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 221130000000 its reverse (31122), we get a palindrome (221130031122).

The spelling of 221130000000 in words is "two hundred twenty-one billion, one hundred thirty million", and thus it is an aban number.