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102254422224 = 24319283739521
BaseRepresentation
bin101111100111011010…
…1101010100011010000
3100202221021201212011010
41133032311222203100
53133404113002344
6114550335050520
710246650151023
oct1371665524320
9322837655133
10102254422224
113a402a56969
1217998970a40
1398478b72a6
144d406271ba
1529d71068b9
hex17ced6a8d0

102254422224 has 80 divisors (see below), whose sum is σ = 278165321280. Its totient is φ = 32278671360.

The previous prime is 102254422199. The next prime is 102254422241. The reversal of 102254422224 is 422224452201.

102254422224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102254422191 and 102254422200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567584 + ... + 2607104.

It is an arithmetic number, because the mean of its divisors is an integer number (3477066516).

Almost surely, 2102254422224 is an apocalyptic number.

It is an amenable number.

102254422224 is an abundant number, since it is smaller than the sum of its proper divisors (175910899056).

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

102254422224 is a wasteful number, since it uses less digits than its factorization.

102254422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42388 (or 42382 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 102254422224 its reverse (422224452201), we get a palindrome (524478874425).

The spelling of 102254422224 in words is "one hundred two billion, two hundred fifty-four million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2837 5674 8511 11348 17022 22696 34044 39521 45392 53903 68088 79042 107806 118563 136176 158084 161709 215612 237126 316168 323418 431224 474252 632336 646836 750899 862448 948504 1293672 1501798 1897008 2252697 2587344 3003596 4505394 6007192 9010788 12014384 18021576 36043152 112121077 224242154 336363231 448484308 672726462 896968616 1345452924 1793937232 2130300463 2690905848 4260600926 5381811696 6390901389 8521201852 12781802778 17042403704 25563605556 34084807408 51127211112 102254422224