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221336241 = 37107137719
BaseRepresentation
bin11010011000101…
…01001010110001
3120102111001020120
431030111022301
5423130224431
633544000453
75325220110
oct1514251261
9512431216
10221336241
11103a36215
1262160129
1336b179b9
1421577c77
1514671196
hexd3152b1

221336241 has 32 divisors (see below), whose sum is σ = 343388160. Its totient is φ = 124208256.

The previous prime is 221336231. The next prime is 221336261. The reversal of 221336241 is 142633122.

It is not a de Polignac number, because 221336241 - 29 = 221335729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221336201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 307480 + ... + 308198.

It is an arithmetic number, because the mean of its divisors is an integer number (10730880).

Almost surely, 2221336241 is an apocalyptic number.

221336241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221336241 is a deficient number, since it is larger than the sum of its proper divisors (122051919).

221336241 is a wasteful number, since it uses less digits than its factorization.

221336241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973.

The product of its digits is 1728, while the sum is 24.

The square root of 221336241 is about 14877.3734577042. The cubic root of 221336241 is about 604.9008247607.

Adding to 221336241 its reverse (142633122), we get a palindrome (363969363).

The spelling of 221336241 in words is "two hundred twenty-one million, three hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 3 7 21 107 137 321 411 719 749 959 2157 2247 2877 5033 14659 15099 43977 76933 98503 102613 230799 295509 307839 538531 689521 1615593 2068563 10539821 31619463 73778747 221336241