Search a number
-
+
221010132222000 = 243253111497491361
BaseRepresentation
bin110010010000000111101110…
…011011000100000000110000
31001222112100210010002012022200
4302100013232123010000300
5212432012222322101000
62102014353022503200
764360312051504332
oct6220075633040060
91058470703065280
10221010132222000
1164469963a0a670
12209552b2134b00
139642220a41884
143c80d39c29452
151a83ea9e66500
hexc901ee6c4030

221010132222000 has 480 divisors, whose sum is σ = 847740503188800. Its totient is φ = 53218621440000.

The previous prime is 221010132221999. The next prime is 221010132222001. The reversal of 221010132222000 is 222231010122.

221010132222000 is a `hidden beast` number, since 2 + 21 + 0 + 101 + 322 + 220 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221010132221999) and next prime (221010132222001).

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

It is not an unprimeable number, because it can be changed into a prime (221010132222001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25756320 + ... + 33247680.

It is an arithmetic number, because the mean of its divisors is an integer number (1766126048310).

Almost surely, 2221010132222000 is an apocalyptic number.

221010132222000 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 221010132222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423870251594400).

221010132222000 is an abundant number, since it is smaller than the sum of its proper divisors (626730370966800).

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

221010132222000 is a wasteful number, since it uses less digits than its factorization.

221010132222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491550 (or 7491531 counting only the distinct ones).

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

Adding to 221010132222000 its reverse (222231010122), we get a palindrome (221232363232122).

The spelling of 221010132222000 in words is "two hundred twenty-one trillion, ten billion, one hundred thirty-two million, two hundred twenty-two thousand".