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228282620000 = 255428194049
BaseRepresentation
bin1101010010011010110…
…1000101100001100000
3210211020102000122101212
43110212231011201200
512220010322320000
6252512132445252
722331025153041
oct3244655054140
9724212018355
10228282620000
11888a5651216
12382ab479828
13186b0960c96
14b0983dc8c8
155e11414c35
hex3526b45860

228282620000 has 120 divisors (see below), whose sum is σ = 561947463000. Its totient is φ = 91258112000.

The previous prime is 228282619997. The next prime is 228282620077. The reversal of 228282620000 is 26282822.

228282620000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2282826200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56377976 + ... + 56382024.

It is an arithmetic number, because the mean of its divisors is an integer number (4682895525).

Almost surely, 2228282620000 is an apocalyptic number.

228282620000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228282620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280973731500).

228282620000 is an abundant number, since it is smaller than the sum of its proper divisors (333664843000).

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

228282620000 is an equidigital number, since it uses as much as digits as its factorization.

228282620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6898 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 228282620000 in words is "two hundred twenty-eight billion, two hundred eighty-two million, six hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 2819 4000 4049 5000 5638 8098 10000 11276 14095 16196 20000 20245 22552 28190 32392 40490 45104 56380 64784 70475 80980 90208 101225 112760 129568 140950 161960 202450 225520 281900 323920 352375 404900 451040 506125 563800 647840 704750 809800 1012250 1127600 1409500 1619600 1761875 2024500 2255200 2530625 2819000 3239200 3523750 4049000 5061250 5638000 7047500 8098000 10122500 11276000 11414131 14095000 16196000 20245000 22828262 28190000 40490000 45656524 56380000 57070655 80980000 91313048 114141310 182626096 228282620 285353275 365252192 456565240 570706550 913130480 1141413100 1426766375 1826260960 2282826200 2853532750 4565652400 5707065500 7133831875 9131304800 11414131000 14267663750 22828262000 28535327500 45656524000 57070655000 114141310000 228282620000