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228186975060 = 2232511142780761
BaseRepresentation
bin1101010010000100000…
…0001110101101010100
3210210222202001101012200
43110201000032231110
512214311331200220
6252454434444500
722325454166602
oct3244100165524
9723882041180
10228186975060
1188856664810
1238283433730
1318696bb3845
14b089822872
155e07d20890
hex352100eb54

228186975060 has 144 divisors (see below), whose sum is σ = 755629947072. Its totient is φ = 55278604800.

The previous prime is 228186975059. The next prime is 228186975061. The reversal of 228186975060 is 60579681822.

It is an interprime number because it is at equal distance from previous prime (228186975059) and next prime (228186975061).

It is a junction number, because it is equal to n+sod(n) for n = 228186974988 and 228186975006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228186975061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2785080 + ... + 2865840.

It is an arithmetic number, because the mean of its divisors is an integer number (5247430188).

Almost surely, 2228186975060 is an apocalyptic number.

228186975060 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 228186975060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377814973536).

228186975060 is an abundant number, since it is smaller than the sum of its proper divisors (527442972012).

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

228186975060 is a wasteful number, since it uses less digits than its factorization.

228186975060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82214 (or 82209 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 228186975060 in words is "two hundred twenty-eight billion, one hundred eighty-six million, nine hundred seventy-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1427 1980 2854 4281 5708 7135 8562 12843 14270 15697 17124 21405 25686 28540 31394 42810 47091 51372 62788 64215 78485 80761 85620 94182 128430 141273 156970 161522 188364 235455 242283 256860 282546 313940 323044 403805 470910 484566 565092 706365 726849 807610 888371 941820 969132 1211415 1412730 1453698 1615220 1776742 2422830 2665113 2825460 2907396 3553484 3634245 4441855 4845660 5330226 7268490 7995339 8883710 10660452 13325565 14536980 15990678 17767420 26651130 31981356 39976695 53302260 79953390 115245947 159906780 230491894 345737841 460983788 576229735 691475682 1037213523 1152459470 1267705417 1382951364 1728689205 2074427046 2304918940 2535410834 3457378410 3803116251 4148854092 5070821668 5186067615 6338527085 6914756820 7606232502 10372135230 11409348753 12677054170 15212465004 19015581255 20744270460 22818697506 25354108340 38031162510 45637395012 57046743765 76062325020 114093487530 228186975060