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221334225 = 35272229263
BaseRepresentation
bin11010011000101…
…00101011010001
3120102110221110220
431030110223101
5423130143400
633543543253
75325211200
oct1514245321
9512427426
10221334225
11103a34752
126215ab29
1336b16ac8
1421577237
15146707a0
hexd314ad1

221334225 has 72 divisors (see below), whose sum is σ = 429168960. Its totient is φ = 100356480.

The previous prime is 221334209. The next prime is 221334257. The reversal of 221334225 is 522433122.

It is not a de Polignac number, because 221334225 - 24 = 221334209 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221334195 and 221334204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 841444 + ... + 841706.

It is an arithmetic number, because the mean of its divisors is an integer number (5960680).

Almost surely, 2221334225 is an apocalyptic number.

221334225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221334225 is a deficient number, since it is larger than the sum of its proper divisors (207834735).

221334225 is a wasteful number, since it uses less digits than its factorization.

221334225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 221334225 is about 14877.3057036548. The cubic root of 221334225 is about 604.8989882129.

Adding to 221334225 its reverse (522433122), we get a palindrome (743767347).

The spelling of 221334225 in words is "two hundred twenty-one million, three hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 229 245 263 525 687 735 789 1145 1225 1315 1603 1841 3435 3675 3945 4809 5523 5725 6575 8015 9205 11221 12887 17175 19725 24045 27615 33663 38661 40075 46025 56105 60227 64435 120225 138075 168315 180681 193305 280525 301135 322175 421589 841575 903405 966525 1264767 1505675 2107945 2951123 4517025 6323835 8853369 10539725 14755615 31619175 44266845 73778075 221334225