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8229114500 = 225337444817
BaseRepresentation
bin1111010100111111…
…00101001010000100
3210020111112022220112
413222133211022010
5113323123131000
63440322252152
7410632214315
oct75237451204
923214468815
108229114500
113543136582
121717ab7058
13a11b52329
14580ca860c
153326a6235
hex1ea7e5284

8229114500 has 48 divisors (see below), whose sum is σ = 18458167728. Its totient is φ = 3202675200.

The previous prime is 8229114499. The next prime is 8229114511. The reversal of 8229114500 is 54119228.

It can be written as a sum of positive squares in 8 ways, for example, as 790396996 + 7438717504 = 28114^2 + 86248^2 .

It is a super-2 number, since 2×82291145002 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 203909 + ... + 240908.

It is an arithmetic number, because the mean of its divisors is an integer number (384545161).

Almost surely, 28229114500 is an apocalyptic number.

It is an amenable number.

8229114500 is an abundant number, since it is smaller than the sum of its proper divisors (10229053228).

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

8229114500 is a wasteful number, since it uses less digits than its factorization.

8229114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444873 (or 444861 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 8229114500 is about 90714.4668727100. The cubic root of 8229114500 is about 2018.9134518615.

The spelling of 8229114500 in words is "eight billion, two hundred twenty-nine million, one hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1850 3700 4625 9250 18500 444817 889634 1779268 2224085 4448170 8896340 11120425 16458229 22240850 32916458 44481700 55602125 65832916 82291145 111204250 164582290 222408500 329164580 411455725 822911450 1645822900 2057278625 4114557250 8229114500