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225821816701338 = 231113633741533153
BaseRepresentation
bin110011010110001000111101…
…001010101100000110011010
31002121120100120200022200121110
4303112020331022230012122
5214044331040033420323
62120141035504121150
765365042063655064
oct6326107512540632
91077510520280543
10225821816701338
1165a54549402220
12213b19456061b6
139900ba1478070
143da9b97258734
151b19224e0b793
hexcd623d2ac19a

225821816701338 has 64 divisors (see below), whose sum is σ = 530686054184832. Its totient is φ = 63156972257280.

The previous prime is 225821816701309. The next prime is 225821816701343. The reversal of 225821816701338 is 833107618128522.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15329431 + ... + 26203722.

It is an arithmetic number, because the mean of its divisors is an integer number (8291969596638).

Almost surely, 2225821816701338 is an apocalyptic number.

225821816701338 is an abundant number, since it is smaller than the sum of its proper divisors (304864237483494).

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

225821816701338 is a wasteful number, since it uses less digits than its factorization.

225821816701338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41539519.

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 225821816701338 in words is "two hundred twenty-five trillion, eight hundred twenty-one billion, eight hundred sixteen million, seven hundred one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 6337 12674 19011 38022 69707 82381 139414 164762 209121 247143 418242 494286 906191 1812382 2718573 5437146 41533153 83066306 124599459 249198918 456864683 539930989 913729366 1079861978 1370594049 1619792967 2741188098 3239585934 5939240879 11878481758 17817722637 35635445274 263195590561 526391181122 789586771683 1579173543366 2895151496171 3421542677293 5790302992342 6843085354586 8685454488513 10264628031879 17370908977026 20529256063758 37636969450223 75273938900446 112910908350669 225821816701338