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221242023 = 361915973
BaseRepresentation
bin11010010111111…
…10001010100111
3120102022021000000
431023332022213
5423114221043
633541552343
75324345322
oct1513761247
9512267000
10221242023
11103981452
12621156b3
1336ab3b52
14215517b9
15146532d3
hexd2fe2a7

221242023 has 28 divisors (see below), whose sum is σ = 349191640. Its totient is φ = 139723056.

The previous prime is 221242003. The next prime is 221242039. The reversal of 221242023 is 320242122.

221242023 is a `hidden beast` number, since 221 + 2 + 420 + 23 = 666.

It is not a de Polignac number, because 221242023 - 214 = 221225639 is a prime.

It is a super-2 number, since 2×2212420232 = 97896065482265058, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221241987 and 221242005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221242003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5865 + ... + 21837.

It is an arithmetic number, because the mean of its divisors is an integer number (12471130).

Almost surely, 2221242023 is an apocalyptic number.

221242023 is a deficient number, since it is larger than the sum of its proper divisors (127949617).

221242023 is an equidigital number, since it uses as much as digits as its factorization.

221242023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16010 (or 15995 counting only the distinct ones).

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

The square root of 221242023 is about 14874.2066343049. The cubic root of 221242023 is about 604.8149815592.

Adding to 221242023 its reverse (320242122), we get a palindrome (541484145).

Subtracting 221242023 from its reverse (320242122), we obtain a palindrome (99000099).

The spelling of 221242023 in words is "two hundred twenty-one million, two hundred forty-two thousand, twenty-three".

Divisors: 1 3 9 19 27 57 81 171 243 513 729 1539 4617 13851 15973 47919 143757 303487 431271 910461 1293813 2731383 3881439 8194149 11644317 24582447 73747341 221242023