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224402020204422 = 231918612011752579
BaseRepresentation
bin110011000001011110101010…
…101100110111111110000110
31002102112121211121201122122010
4303001132222230313332012
5213403100314133020142
62113132510453515050
765160340152605424
oct6301365254677606
91072477747648563
10224402020204422
11655573a9290885
1221202746642a86
13982a0343a91b8
143d5b1897bc114
151ae2328d2ce9c
hexcc17aab37f86

224402020204422 has 64 divisors (see below), whose sum is σ = 472711648147200. Its totient is φ = 70820849854080.

The previous prime is 224402020204421. The next prime is 224402020204457.

224402020204422 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2244020202044223 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224402020204422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224402020204421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4267875729 + ... + 4267928307.

It is an arithmetic number, because the mean of its divisors is an integer number (7386119502300).

Almost surely, 2224402020204422 is an apocalyptic number.

224402020204422 is an abundant number, since it is smaller than the sum of its proper divisors (248309627942778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224402020204422 is a wasteful number, since it uses less digits than its factorization.

224402020204422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74581.

The product of its (nonzero) digits is 32768, while the sum is 30.

The spelling of 224402020204422 in words is "two hundred twenty-four trillion, four hundred two billion, twenty million, two hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 114 1861 3722 5583 11166 20117 35359 40234 52579 60351 70718 105158 106077 120702 157737 212154 315474 382223 764446 999001 1146669 1998002 2293338 2997003 5994006 37437737 74875474 97849519 112313211 195699038 224626422 293548557 587097114 711317003 1057731743 1422634006 1859140861 2115463486 2133951009 3173195229 3718281722 4267902018 5577422583 6346390458 11154845166 20096903117 40193806234 60290709351 120581418702 1968438773723 3936877547446 5905316321169 11810632642338 37400336700737 74800673401474 112201010102211 224402020204422