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221100220000 = 2554114721383
BaseRepresentation
bin1100110111101010011…
…0011001111001100000
3210010200212001220212001
43031322212121321200
512110303124020000
6245323321013344
721655032601252
oct3157246317140
9703625056761
10221100220000
118584a345850
1236a26024254
1317b0792395a
14a9b6561cd2
155b40abb46a
hex337a999e60

221100220000 has 240 divisors, whose sum is σ = 606042404352. Its totient is φ = 78685760000.

The previous prime is 221100219941. The next prime is 221100220007. The reversal of 221100220000 is 22001122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10329309 + ... + 10350691.

Almost surely, 2221100220000 is an apocalyptic number.

221100220000 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 221100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303021202176).

221100220000 is an abundant number, since it is smaller than the sum of its proper divisors (384942184352).

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

221100220000 is a wasteful number, since it uses less digits than its factorization.

221100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21471 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221100220000 its reverse (22001122), we get a palindrome (221122221122).

The spelling of 221100220000 in words is "two hundred twenty-one billion, one hundred million, two hundred twenty thousand".