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223022333100133 = 7280171591335677
BaseRepresentation
bin110010101101011001101110…
…111100010000000001100101
31002020122201121212000212122001
4302231121232330100001211
5213212444214233201013
62110155013451005301
764655555214661600
oct6255315674200145
91066581555025561
10223022333100133
1165075270944806
122101b280139831
139759bb9c41658
143d104a4c67337
151abb4c9143ddd
hexcad66ef10065

223022333100133 has 24 divisors (see below), whose sum is σ = 259490081515992. Its totient is φ = 191120786648064.

The previous prime is 223022333100079. The next prime is 223022333100137. The reversal of 223022333100133 is 331001333220322.

It can be written as a sum of positive squares in 4 ways, for example, as 93325608028324 + 129696725071809 = 9660518^2 + 11388447^2 .

It is not a de Polignac number, because 223022333100133 - 233 = 223013743165541 is a prime.

It is a super-2 number, since 2×2230223331001332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223022333100137) 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 23 ways as a sum of consecutive naturals, for example, 6251133691 + ... + 6251169367.

It is an arithmetic number, because the mean of its divisors is an integer number (10812086729833).

Almost surely, 2223022333100133 is an apocalyptic number.

It is an amenable number.

223022333100133 is a deficient number, since it is larger than the sum of its proper divisors (36467748415859).

223022333100133 is a wasteful number, since it uses less digits than its factorization.

223022333100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59621 (or 59614 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 223022333100133 its reverse (331001333220322), we get a palindrome (554023666320455).

The spelling of 223022333100133 in words is "two hundred twenty-three trillion, twenty-two billion, three hundred thirty-three million, one hundred thousand, one hundred thirty-three".

Divisors: 1 7 49 8017 15913 35677 56119 111391 249739 392833 779737 1748173 127574521 286022509 567728101 893021647 2002157563 3974096707 6251151529 14015102941 27818676949 4551476185717 31860333300019 223022333100133