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224022144012 = 223414718675189
BaseRepresentation
bin1101000010100011000…
…0101010010000001100
3210102020111012001001220
43100220300222100030
512132244132102022
6250525300003340
722120322543202
oct3205060522014
9712214161056
10224022144012
1187009729587
1237500690550
131818209c784
14abb2643072
155c6238b85c
hex3428c2a40c

224022144012 has 96 divisors (see below), whose sum is σ = 547258844160. Its totient is φ = 71250746880.

The previous prime is 224022144011. The next prime is 224022144013. The reversal of 224022144012 is 210441220422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224022144011) and next prime (224022144013).

It is a super-2 number, since 2×2240221440122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224022144011) 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 31 ways as a sum of consecutive naturals, for example, 43169914 + ... + 43175102.

It is an arithmetic number, because the mean of its divisors is an integer number (5700612960).

Almost surely, 2224022144012 is an apocalyptic number.

It is an amenable number.

224022144012 is an abundant number, since it is smaller than the sum of its proper divisors (323236700148).

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

224022144012 is a wasteful number, since it uses less digits than its factorization.

224022144012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 224022144012 its reverse (210441220422), we get a palindrome (434463364434).

The spelling of 224022144012 in words is "two hundred twenty-four billion, twenty-two million, one hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 41 47 82 94 123 141 164 188 246 282 492 564 1867 1927 3734 3854 5189 5601 5781 7468 7708 10378 11202 11562 15567 20756 22404 23124 31134 62268 76547 87749 153094 175498 212749 229641 243883 263247 306188 350996 425498 459282 487766 526494 638247 731649 850996 918564 975532 1052988 1276494 1463298 2552988 2926596 3597709 7195418 9687863 9999203 10793127 14390836 19375726 19998406 21586254 29063589 29997609 38751452 39996812 43172508 58127178 59995218 116254356 119990436 397202383 455329561 794404766 910659122 1191607149 1365988683 1588809532 1821318244 2383214298 2731977366 4766428596 5463954732 18668512001 37337024002 56005536003 74674048004 112011072006 224022144012