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202250544008 = 231724721992
BaseRepresentation
bin1011110001011100010…
…0100110001110001000
3201100001012002011111012
42330113010212032020
511303202114402013
6232525043023052
720416646154542
oct2742704461610
9640035064435
10202250544008
1178857183227
123324536aa88
13160c2669716
149b08d58692
1553dad271a8
hex2f17126388

202250544008 has 108 divisors (see below), whose sum is σ = 413671096485. Its totient is φ = 92683590912.

The previous prime is 202250543969. The next prime is 202250544011. The reversal of 202250544008 is 800445052202.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 185104736644 + 17145807364 = 430238^2 + 130942^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=318002.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1016334293 + ... + 1016334491.

Almost surely, 2202250544008 is an apocalyptic number.

It is an amenable number.

202250544008 is an abundant number, since it is smaller than the sum of its proper divisors (211420552477).

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

202250544008 is an equidigital number, since it uses as much as digits as its factorization.

202250544008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Multiplying 202250544008 by its sum of digits (32), we get a square (6472017408256 = 25440162).

The spelling of 202250544008 in words is "two hundred two billion, two hundred fifty million, five hundred forty-four thousand, eight".

Divisors: 1 2 4 8 17 34 47 68 94 136 188 199 289 376 398 578 796 799 1156 1592 1598 2209 2312 3196 3383 4418 6392 6766 8836 9353 13532 13583 17672 18706 27064 27166 37412 37553 39601 54332 57511 74824 75106 79202 108664 115022 150212 158404 159001 230044 300424 316808 318002 439591 460088 636004 638401 673217 879182 1272008 1276802 1346434 1758364 1861247 2553604 2692868 2703017 3516728 3722494 5107208 5385736 5406034 7444988 7473047 10812068 11444689 14889976 14946094 21624136 22889378 29892188 31641199 45778756 59784376 63282398 87478609 91557512 126564796 127041799 174957218 253129592 254083598 349914436 508167196 537900383 699828872 1016334392 1075800766 1487136353 2151601532 2974272706 4303203064 5948545412 11897090824 25281318001 50562636002 101125272004 202250544008