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31822780230 = 2345193316247
BaseRepresentation
bin11101101000110010…
…010001011101000110
310001010210011201210000
4131220302101131012
51010133112431410
622341424342130
72204412111633
oct355062213506
9101123151700
1031822780230
111255014787a
126201474946
133001bccb97
14177c57118a
15c63b81dc0
hex768c91746

31822780230 has 160 divisors (see below), whose sum is σ = 90358076160. Its totient is φ = 8013867840.

The previous prime is 31822780229. The next prime is 31822780247. The reversal of 31822780230 is 3208722813.

It is a happy number.

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 5090967 + ... + 5097213.

It is an arithmetic number, because the mean of its divisors is an integer number (564737976).

Almost surely, 231822780230 is an apocalyptic number.

31822780230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31822780230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45179038080).

31822780230 is an abundant number, since it is smaller than the sum of its proper divisors (58535295930).

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

31822780230 is a wasteful number, since it uses less digits than its factorization.

31822780230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 31822780230 in words is "thirty-one billion, eight hundred twenty-two million, seven hundred eighty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 331 342 405 513 570 662 810 855 993 1026 1539 1655 1710 1986 2565 2979 3078 3310 4965 5130 5958 6247 6289 7695 8937 9930 12494 12578 14895 15390 17874 18741 18867 26811 29790 31235 31445 37482 37734 44685 53622 56223 56601 62470 62890 89370 93705 94335 112446 113202 118693 134055 168669 169803 187410 188670 237386 268110 281115 283005 337338 339606 356079 506007 509409 562230 566010 593465 712158 843345 849015 1012014 1018818 1068237 1186930 1686690 1698030 1780395 2067757 2136474 2530035 2547045 3204711 3560790 4135514 5060070 5094090 5341185 6203271 6409422 9614133 10338785 10682370 12406542 16023555 18609813 19228266 20677570 31016355 32047110 37219626 39287383 48070665 55829439 62032710 78574766 93049065 96141330 111658878 117862149 167488317 186098130 196436915 235724298 279147195 334976634 353586447 392873830 558294390 589310745 707172894 837441585 1060759341 1178621490 1674883170 1767932235 2121518682 3182278023 3535864470 5303796705 6364556046 10607593410 15911390115 31822780230