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8198228940 = 22351134735797
BaseRepresentation
bin1111010001010011…
…10000101111001100
3210011100102011212220
413220221300233030
5113242221311230
63433300255340
7410105540046
oct75051605714
923140364786
108198228940
113527760820
1217096a1550
13a0862a255
1457ab48a96
1532eb04d10
hex1e8a70bcc

8198228940 has 96 divisors (see below), whose sum is σ = 25114731264. Its totient is φ = 1981666560.

The previous prime is 8198228939. The next prime is 8198228959. The reversal of 8198228940 is 498228918.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 211122 + ... + 246918.

It is an arithmetic number, because the mean of its divisors is an integer number (261611784).

Almost surely, 28198228940 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 8198228940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557365632).

8198228940 is an abundant number, since it is smaller than the sum of its proper divisors (16916502324).

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

8198228940 is a wasteful number, since it uses less digits than its factorization.

8198228940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36167 (or 36165 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 8198228940 is about 90544.0718103621. The cubic root of 8198228940 is about 2016.3844861044.

The spelling of 8198228940 in words is "eight billion, one hundred ninety-eight million, two hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 347 660 694 1041 1388 1735 2082 3470 3817 4164 5205 6940 7634 10410 11451 15268 19085 20820 22902 35797 38170 45804 57255 71594 76340 107391 114510 143188 178985 214782 229020 357970 393767 429564 536955 715940 787534 1073910 1181301 1575068 1968835 2147820 2362602 3937670 4725204 5906505 7875340 11813010 12421559 23626020 24843118 37264677 49686236 62107795 74529354 124215590 136637149 149058708 186323385 248431180 273274298 372646770 409911447 546548596 683185745 745293540 819822894 1366371490 1639645788 2049557235 2732742980 4099114470 8198228940