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223442440330401 = 33166322432218607
BaseRepresentation
bin110010110011100000111111…
…010010001001110010100001
31002022010212222211220101011000
4302303200333102021302201
5213241340104211033101
62111120012350542213
765031116653344315
oct6263407722116241
91068125884811130
10223442440330401
1165217452485886
1221088785207969
13978a6bb230086
143d26959665b45
151ac73b5dda486
hexcb383f489ca1

223442440330401 has 32 divisors (see below), whose sum is σ = 331372710789120. Its totient is φ = 148805613929232.

The previous prime is 223442440330393. The next prime is 223442440330453. The reversal of 223442440330401 is 104033044244322.

223442440330401 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 4 + 244 + 0 + 3 + 3 + 0 + 401 = 666.

It is not a de Polignac number, because 223442440330401 - 23 = 223442440330393 is a prime.

It is a super-2 number, since 2×2234424403304012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223442440331401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99603640 + ... + 101822246.

It is an arithmetic number, because the mean of its divisors is an integer number (10355397212160).

Almost surely, 2223442440330401 is an apocalyptic number.

It is an amenable number.

223442440330401 is a deficient number, since it is larger than the sum of its proper divisors (107930270458719).

223442440330401 is a wasteful number, since it uses less digits than its factorization.

223442440330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222522 (or 2222516 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 223442440330401 its reverse (104033044244322), we get a palindrome (327475484574723).

The spelling of 223442440330401 in words is "two hundred twenty-three trillion, four hundred forty-two billion, four hundred forty million, three hundred thirty thousand, four hundred one".

Divisors: 1 3 9 27 1663 2243 4989 6729 14967 20187 44901 60561 2218607 3730109 6655821 11190327 19967463 33570981 59902389 100712943 3689543441 4976335501 11068630323 14929006503 33205890969 44787019509 99617672907 134361058527 8275645938163 24826937814489 74480813443467 223442440330401