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8235114500 = 2253173312927
BaseRepresentation
bin1111010101101100…
…11110000000000100
3210020220211011100202
413222312132000010
5113331142131000
63441055030032
7411034214114
oct75266360004
923226734322
108235114500
113546564458
121719b0b318
13a13173322
145819cb044
15332e8ddd5
hex1ead9e004

8235114500 has 96 divisors (see below), whose sum is σ = 19107518976. Its totient is φ = 3089856000.

The previous prime is 8235114499. The next prime is 8235114523. The reversal of 8235114500 is 54115328.

It is a super-2 number, since 2×82351145002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2812037 + ... + 2814963.

It is an arithmetic number, because the mean of its divisors is an integer number (199036656).

Almost surely, 28235114500 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 8235114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553759488).

8235114500 is an abundant number, since it is smaller than the sum of its proper divisors (10872404476).

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

8235114500 is a wasteful number, since it uses less digits than its factorization.

8235114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 8235114500 is about 90747.5316468718. The cubic root of 8235114500 is about 2019.4040084031.

Adding to 8235114500 its reverse (54115328), we get a palindrome (8289229828).

The spelling of 8235114500 in words is "eight billion, two hundred thirty-five million, one hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 331 340 425 500 662 850 1324 1655 1700 2125 2927 3310 4250 5627 5854 6620 8275 8500 11254 11708 14635 16550 22508 28135 29270 33100 41375 49759 56270 58540 73175 82750 99518 112540 140675 146350 165500 199036 248795 281350 292700 365875 497590 562700 703375 731750 968837 995180 1243975 1406750 1463500 1937674 2487950 2813500 3875348 4844185 4975900 6219875 9688370 12439750 16470229 19376740 24220925 24879500 32940458 48441850 65880916 82351145 96883700 121104625 164702290 242209250 329404580 411755725 484418500 823511450 1647022900 2058778625 4117557250 8235114500