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224133140304 = 24322953671729
BaseRepresentation
bin1101000010111101100…
…0000100111101010000
3210102112020001020100200
43100233120010331100
512133011040442204
6250544303015200
722123141154433
oct3205730047520
9712466036320
10224133140304
1187066350757
123753189a500
131819c093458
14abc329781a
155c6beb4539
hex342f604f50

224133140304 has 60 divisors (see below), whose sum is σ = 648891215700. Its totient is φ = 72134802432.

The previous prime is 224133140291. The next prime is 224133140377. The reversal of 224133140304 is 403041331422.

224133140304 is a `hidden beast` number, since 2 + 2 + 41 + 3 + 314 + 0 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126414380304 + 97718760000 = 355548^2 + 312600^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26831689 + ... + 26840040.

It is an arithmetic number, because the mean of its divisors is an integer number (10814853595).

Almost surely, 2224133140304 is an apocalyptic number.

224133140304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224133140304 is an abundant number, since it is smaller than the sum of its proper divisors (424758075396).

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

224133140304 is a wasteful number, since it uses less digits than its factorization.

224133140304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53671772 (or 53671763 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 224133140304 its reverse (403041331422), we get a palindrome (627174471726).

The spelling of 224133140304 in words is "two hundred twenty-four billion, one hundred thirty-three million, one hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 53671729 107343458 161015187 214686916 322030374 429373832 483045561 644060748 858747664 966091122 1288121496 1556480141 1932182244 2576242992 3112960282 3864364488 4669440423 6225920564 7728728976 9338880846 12451841128 14008321269 18677761692 24903682256 28016642538 37355523384 56033285076 74711046768 112066570152 224133140304