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8498228900 = 22527831071367
BaseRepresentation
bin1111110101000100…
…01010111010100100
3210221020220202110112
413322202022322210
5114401021311100
63523134312152
7420410516360
oct77242127244
923836822415
108498228900
113671035177
121792058658
13a55828015
145a891c2a0
1534b113b35
hex1fa88aea4

8498228900 has 144 divisors (see below), whose sum is σ = 21544621056. Its totient is φ = 2849585280.

The previous prime is 8498228891. The next prime is 8498228917. The reversal of 8498228900 is 98228948.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 6216017 + ... + 6217383.

It is an arithmetic number, because the mean of its divisors is an integer number (149615424).

Almost surely, 28498228900 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 8498228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772310528).

8498228900 is an abundant number, since it is smaller than the sum of its proper divisors (13046392156).

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

8498228900 is a wasteful number, since it uses less digits than its factorization.

8498228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 8498228900 is about 92185.8389341877. The cubic root of 8498228900 is about 2040.6857956351.

The spelling of 8498228900 in words is "eight billion, four hundred ninety-eight million, two hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 107 140 166 175 214 332 350 415 428 535 581 700 749 830 1070 1162 1367 1498 1660 2075 2140 2324 2675 2734 2905 2996 3745 4150 5350 5468 5810 6835 7490 8300 8881 9569 10700 11620 13670 14525 14980 17762 18725 19138 27340 29050 34175 35524 37450 38276 44405 47845 58100 62167 68350 74900 88810 95690 113461 124334 136700 146269 177620 191380 222025 226922 239225 248668 292538 310835 444050 453844 478450 567305 585076 621670 731345 794227 888100 956900 1023883 1134610 1243340 1462690 1554175 1588454 2047766 2269220 2836525 2925380 3108350 3176908 3656725 3971135 4095532 5119415 5673050 6216700 7313450 7942270 10238830 11346100 12140327 14626900 15884540 19855675 20477660 24280654 25597075 39711350 48561308 51194150 60701635 79422700 84982289 102388300 121403270 169964578 242806540 303508175 339929156 424911445 607016350 849822890 1214032700 1699645780 2124557225 4249114450 8498228900