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114226304 = 273492557
BaseRepresentation
bin1101100111011…
…11010010000000
321221221022000212
412303233102000
5213220220204
615200133252
72554623203
oct663572200
9257838025
10114226304
1159528a05
1232307228
131a884c3a
141125593a
15a064c6e
hex6cef480

114226304 has 32 divisors (see below), whose sum is σ = 228301500. Its totient is φ = 56927232.

The previous prime is 114226297. The next prime is 114226393. The reversal of 114226304 is 403622411.

It can be written as a sum of positive squares in 2 ways, for example, as 113379904 + 846400 = 10648^2 + 920^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114226304.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 43394 + ... + 45950.

Almost surely, 2114226304 is an apocalyptic number.

It is an amenable number.

114226304 is a deficient number, since it is larger than the sum of its proper divisors (114075196).

114226304 is an equidigital number, since it uses as much as digits as its factorization.

114226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 114226304 is about 10687.6706536083. The cubic root of 114226304 is about 485.2013957936.

Adding to 114226304 its reverse (403622411), we get a palindrome (517848715).

The spelling of 114226304 in words is "one hundred fourteen million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 349 698 1396 2557 2792 5114 5584 10228 11168 20456 22336 40912 44672 81824 163648 327296 892393 1784786 3569572 7139144 14278288 28556576 57113152 114226304