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20442282225 = 3524714938921
BaseRepresentation
bin10011000010011101…
…000111100011110001
31221202122202112101220
4103002131013203301
5313331211012400
613220245015253
71322402350311
oct230235074361
957678675356
1020442282225
118740154222
123b660b4529
131c0a2017b1
14dbcd35441
157e99d27a0
hex4c27478f1

20442282225 has 48 divisors (see below), whose sum is σ = 34749561600. Its totient is φ = 10598694400.

The previous prime is 20442282193. The next prime is 20442282233. The reversal of 20442282225 is 52228224402.

It is not a de Polignac number, because 20442282225 - 25 = 20442282193 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 505765 + ... + 544685.

It is an arithmetic number, because the mean of its divisors is an integer number (723949200).

Almost surely, 220442282225 is an apocalyptic number.

20442282225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20442282225 is a deficient number, since it is larger than the sum of its proper divisors (14307279375).

20442282225 is a wasteful number, since it uses less digits than its factorization.

20442282225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39130 (or 39125 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The spelling of 20442282225 in words is "twenty billion, four hundred forty-two million, two hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 47 75 141 149 235 447 705 745 1175 2235 3525 3725 7003 11175 21009 35015 38921 105045 116763 175075 194605 525225 583815 973025 1829287 2919075 5487861 5799229 9146435 17397687 27439305 28996145 45732175 86988435 137196525 144980725 272563763 434942175 817691289 1362818815 4088456445 6814094075 20442282225