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224112214031 = 8314942414273
BaseRepresentation
bin1101000010111000100…
…0010000000000001111
3210102110202200001220112
43100232020100000033
512132440211322111
6250542234310235
722122465250046
oct3205610200017
9712422601815
10224112214031
1187055558512
123752688837b
1318197947544
14abc05ab55d
155c6a22de8b
hex342e21000f

224112214031 has 16 divisors (see below), whose sum is σ = 228441880800. Its totient is φ = 219822766080.

The previous prime is 224112213989. The next prime is 224112214057. The reversal of 224112214031 is 130412211422.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224112214031 is a prime.

It is a super-2 number, since 2×2241122140312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 224112213988 and 224112214006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224112214631) 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 15 ways as a sum of consecutive naturals, for example, 52446311 + ... + 52450583.

It is an arithmetic number, because the mean of its divisors is an integer number (14277617550).

Almost surely, 2224112214031 is an apocalyptic number.

224112214031 is a deficient number, since it is larger than the sum of its proper divisors (4329666769).

224112214031 is a wasteful number, since it uses less digits than its factorization.

224112214031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8746.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 224112214031 its reverse (130412211422), we get a palindrome (354524425453).

The spelling of 224112214031 in words is "two hundred twenty-four billion, one hundred twelve million, two hundred fourteen thousand, thirty-one".

Divisors: 1 83 149 4241 4273 12367 352003 354659 631909 636677 18121793 52448447 52844191 1504108819 2700147157 224112214031