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221397904 = 24713732083
BaseRepresentation
bin11010011001001…
…00001110010000
3120102121011211101
431030210032100
5423134213104
633545154144
75325564640
oct1514441620
9512534741
10221397904
11103a78582
126218b954
1336b39aa0
1421592520
15146845a4
hexd324390

221397904 has 80 divisors (see below), whose sum is σ = 535437952. Its totient is φ = 86344704.

The previous prime is 221397893. The next prime is 221397923. The reversal of 221397904 is 409793122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105247 + ... + 107329.

Almost surely, 2221397904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221397904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267718976).

221397904 is an abundant number, since it is smaller than the sum of its proper divisors (314040048).

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

221397904 is a wasteful number, since it uses less digits than its factorization.

221397904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 221397904 is about 14879.4456886001. The cubic root of 221397904 is about 604.9569935051.

The spelling of 221397904 in words is "two hundred twenty-one million, three hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 73 91 104 112 146 182 208 292 364 511 584 728 949 1022 1168 1456 1898 2044 2083 3796 4088 4166 6643 7592 8176 8332 13286 14581 15184 16664 26572 27079 29162 33328 53144 54158 58324 106288 108316 116648 152059 189553 216632 233296 304118 379106 433264 608236 758212 1064413 1216472 1516424 1976767 2128826 2432944 3032848 3953534 4257652 7907068 8515304 13837369 15814136 17030608 27674738 31628272 55349476 110698952 221397904