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102442422224 = 24411091432681
BaseRepresentation
bin101111101101000001…
…0110100111111010000
3100210102101111020200002
41133122002310333100
53134300230002344
6115021132345132
710254422136002
oct1373202647720
9323371436602
10102442422224
113a49a09306a
1217a2b9151a8
13987782c5ac
144d5b5a4372
1529e889044e
hex17da0b4fd0

102442422224 has 40 divisors (see below), whose sum is σ = 205188716040. Its totient is φ = 49513420800.

The previous prime is 102442422197. The next prime is 102442422283. The reversal of 102442422224 is 422224244201.

It can be written as a sum of positive squares in 4 ways, for example, as 405619600 + 102036802624 = 20140^2 + 319432^2 .

It is a super-2 number, since 2×1024424222242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 644837 + ... + 787844.

It is an arithmetic number, because the mean of its divisors is an integer number (5129717901).

Almost surely, 2102442422224 is an apocalyptic number.

It is an amenable number.

102442422224 is an abundant number, since it is smaller than the sum of its proper divisors (102746293816).

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

102442422224 is a wasteful number, since it uses less digits than its factorization.

102442422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432839 (or 1432833 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 102442422224 its reverse (422224244201), we get a palindrome (524666666425).

The spelling of 102442422224 in words is "one hundred two billion, four hundred forty-two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 41 82 109 164 218 328 436 656 872 1744 4469 8938 17876 35752 71504 1432681 2865362 5730724 11461448 22922896 58739921 117479842 156162229 234959684 312324458 469919368 624648916 939838736 1249297832 2498595664 6402651389 12805302778 25610605556 51221211112 102442422224