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221112220000 = 2554712311283
BaseRepresentation
bin1100110111101101010…
…0001011100101100000
3210010201200122120202111
43031323110023211200
512110314212020000
6245324430125104
721655236600550
oct3157324134540
9703650576674
10221112220000
11858560a1601
1236a2a050794
1317b0a265949
14a9b7da7160
155b41b8bcba
hex337b50b960

221112220000 has 240 divisors, whose sum is σ = 622669082112. Its totient is φ = 75689280000.

The previous prime is 221112219953. The next prime is 221112220027. The reversal of 221112220000 is 22211122.

It is a happy number.

221112220000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211122200002 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 172339359 + ... + 172340641.

Almost surely, 2221112220000 is an apocalyptic number.

221112220000 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 221112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311334541056).

221112220000 is an abundant number, since it is smaller than the sum of its proper divisors (401556862112).

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

221112220000 is a wasteful number, since it uses less digits than its factorization.

221112220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221112220000 its reverse (22211122), we get a palindrome (221134431122).

The spelling of 221112220000 in words is "two hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand".