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221112022032 = 243211315384961
BaseRepresentation
bin1100110111101101001…
…1011011010000010000
3210010201200021112012100
43031323103123100100
512110314134201112
6245324422000400
721655235114436
oct3157323332020
9703650245170
10221112022032
1185855a768a0
1236a29b76100
1317b0a1c67c5
14a9b7d54d56
155b41b4d2dc
hex337b4db410

221112022032 has 240 divisors, whose sum is σ = 709994128896. Its totient is φ = 63618048000.

The previous prime is 221112022031. The next prime is 221112022091. The reversal of 221112022032 is 230220211122.

221112022032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221112021996 and 221112022014.

It is not an unprimeable number, because it can be changed into a prime (221112022031) 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, 2560032 + ... + 2644992.

Almost surely, 2221112022032 is an apocalyptic number.

221112022032 is a gapful number since it is divisible by the number (22) 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 221112022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354997064448).

221112022032 is an abundant number, since it is smaller than the sum of its proper divisors (488882106864).

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

221112022032 is a wasteful number, since it uses less digits than its factorization.

221112022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85070 (or 85061 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221112022032 its reverse (230220211122), we get a palindrome (451332233154).

The spelling of 221112022032 in words is "two hundred twenty-one billion, one hundred twelve million, twenty-two thousand, thirty-two".