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163812220 = 2251121341127
BaseRepresentation
bin10011100001110…
…01001101111100
3102102020112010021
421300321031330
5313413442340
624131021524
74026244435
oct1160711574
9372215107
10163812220
1184516600
1246a3a8a4
1327c26a10
1417a8248c
15e5abe4a
hex9c3937c

163812220 has 144 divisors (see below), whose sum is σ = 420424704. Its totient is φ = 53222400.

The previous prime is 163812217. The next prime is 163812227. The reversal of 163812220 is 22218361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163812227) 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, 1289797 + ... + 1289923.

It is an arithmetic number, because the mean of its divisors is an integer number (2919616).

Almost surely, 2163812220 is an apocalyptic number.

163812220 is a gapful number since it is divisible by the number (10) 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 163812220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210212352).

163812220 is an abundant number, since it is smaller than the sum of its proper divisors (256612484).

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

163812220 is a wasteful number, since it uses less digits than its factorization.

163812220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 163812220 is about 12798.9147977475. The cubic root of 163812220 is about 547.1613746704.

The spelling of 163812220 in words is "one hundred sixty-three million, eight hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 41 44 52 55 65 82 110 121 127 130 143 164 205 220 242 254 260 286 410 451 484 508 533 572 605 635 715 820 902 1066 1210 1270 1397 1430 1573 1651 1804 2132 2255 2420 2540 2665 2794 2860 3146 3302 4510 4961 5207 5330 5588 5863 6292 6604 6985 7865 8255 9020 9922 10414 10660 11726 13970 15367 15730 16510 18161 19844 20828 23452 24805 26035 27940 29315 30734 31460 33020 36322 49610 52070 57277 58630 61468 64493 67691 72644 76835 90805 99220 104140 114554 117260 128986 135382 153670 181610 199771 229108 257972 270764 286385 307340 322465 338455 363220 399542 572770 630047 644930 676910 744601 799084 998855 1145540 1260094 1289860 1353820 1489202 1997710 2520188 2978404 3150235 3723005 3995420 6300470 7446010 8190611 12600940 14892020 16381222 32762444 40953055 81906110 163812220