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221300442 = 232111117679
BaseRepresentation
bin11010011000011…
…00011011011010
3120102102020010200
431030030123122
5423123103232
633543123030
75325010536
oct1514143332
9512366120
10221300442
11103a11330
1262143476
1336b0460c
1421568bc6
151466577c
hexd30c6da

221300442 has 24 divisors (see below), whose sum is σ = 523074240. Its totient is φ = 67060680.

The previous prime is 221300381. The next prime is 221300461. The reversal of 221300442 is 244003122.

221300442 is a `hidden beast` number, since 221 + 3 + 0 + 0 + 442 = 666.

221300442 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558642 + ... + 559037.

It is an arithmetic number, because the mean of its divisors is an integer number (21794760).

Almost surely, 2221300442 is an apocalyptic number.

221300442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221300442 is an abundant number, since it is smaller than the sum of its proper divisors (301773798).

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

221300442 is a wasteful number, since it uses less digits than its factorization.

221300442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117698 (or 1117695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221300442 is about 14876.1702732928. The cubic root of 221300442 is about 604.8682107129.

Adding to 221300442 its reverse (244003122), we get a palindrome (465303564).

The spelling of 221300442 in words is "two hundred twenty-one million, three hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1117679 2235358 3353037 6706074 10059111 12294469 20118222 24588938 36883407 73766814 110650221 221300442