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8228701440 = 28335238099
BaseRepresentation
bin1111010100111100…
…00000010100000000
3210020110202100022000
413222132000110000
5113323021421230
63440305344000
7410625544131
oct75236002400
923213670260
108228701440
113542984203
121717938000
13a11a3930b
14580bdbc88
15332623b60
hex1ea780500

8228701440 has 144 divisors (see below), whose sum is σ = 29200584000. Its totient is φ = 2194311168.

The previous prime is 8228701433. The next prime is 8228701447. The reversal of 8228701440 is 441078228.

It is an interprime number because it is at equal distance from previous prime (8228701433) and next prime (8228701447).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 8228701395 and 8228701404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8228701447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84490 + ... + 153609.

Almost surely, 28228701440 is an apocalyptic number.

8228701440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8228701440 is an abundant number, since it is smaller than the sum of its proper divisors (20971882560).

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

8228701440 is a wasteful number, since it uses less digits than its factorization.

8228701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238129 (or 238109 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8228701440 is about 90712.1901400247. The cubic root of 8228701440 is about 2018.8796715422.

Adding to 8228701440 its reverse (441078228), we get a palindrome (8669779668).

The spelling of 8228701440 in words is "eight billion, two hundred twenty-eight million, seven hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 238099 476198 714297 952396 1190495 1428594 1904792 2142891 2380990 2857188 3571485 3809584 4285782 4761980 5714376 6428673 7142970 7619168 8571564 9523960 10714455 11428752 12857346 14285940 15238336 17143128 19047920 21428910 22857504 25714692 28571880 30476672 32143365 34286256 38095840 42857820 45715008 51429384 57143760 60953344 64286730 68572512 76191680 85715640 91430016 102858768 114287520 128573460 137145024 152383360 171431280 182860032 205717536 228575040 257146920 274290048 304766720 342862560 411435072 457150080 514293840 548580096 685725120 822870144 914300160 1028587680 1371450240 1645740288 2057175360 2742900480 4114350720 8228701440