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2068802208 = 25341172559
BaseRepresentation
bin111101101001111…
…0110101010100000
312100011211001010000
41323103312222200
513214103132313
6541141340000
7102160346214
oct17323665240
95304731100
102068802208
1197186a7a0
12498a07600
1326c7b6925
14158a88944
15c1953673
hex7b4f6aa0

2068802208 has 120 divisors (see below), whose sum is σ = 6637498560. Its totient is φ = 626901120.

The previous prime is 2068802171. The next prime is 2068802221. The reversal of 2068802208 is 8022088602.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 7768 + ... + 64791.

It is an arithmetic number, because the mean of its divisors is an integer number (55312488).

Almost surely, 22068802208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068802208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318749280).

2068802208 is an abundant number, since it is smaller than the sum of its proper divisors (4568696352).

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

2068802208 is a wasteful number, since it uses less digits than its factorization.

2068802208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72592 (or 72575 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2068802208 is about 45484.0874152708. The cubic root of 2068802208 is about 1274.2060330198.

The spelling of 2068802208 in words is "two billion, sixty-eight million, eight hundred two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 72559 145118 217677 290236 435354 580472 653031 798149 870708 1160944 1306062 1596298 1741416 1959093 2321888 2394447 2612124 3192596 3482832 3918186 4788894 5224248 5877279 6385192 6965664 7183341 7836372 9577788 10448496 11754558 12770384 14366682 15672744 19155576 20896992 21550023 23509116 25540768 28733364 31345488 38311152 43100046 47018232 57466728 62690976 64650069 76622304 86200092 94036464 114933456 129300138 172400184 188072928 229866912 258600276 344800368 517200552 689600736 1034401104 2068802208