[go: up one dir, main page]

Search a number
-
+
20165220 = 22335107349
BaseRepresentation
bin100110011101…
…1001001100100
31101221111111000
41030323021210
520130241340
62000113300
7333254505
oct114731144
941844430
1020165220
1110423479
126905830
1342406aa
14296cbac
151b84d30
hex133b264

20165220 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 5311872.

The previous prime is 20165203. The next prime is 20165231. The reversal of 20165220 is 2256102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20165193 and 20165202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57606 + ... + 57954.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 220165220 is an apocalyptic number.

20165220 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 20165220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

20165220 is an abundant number, since it is smaller than the sum of its proper divisors (43338780).

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

20165220 is a wasteful number, since it uses less digits than its factorization.

20165220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20165220 is about 4490.5701197064. The cubic root of 20165220 is about 272.1871729290.

The spelling of 20165220 in words is "twenty million, one hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 349 428 535 540 642 698 963 1047 1070 1284 1396 1605 1745 1926 2094 2140 2889 3141 3210 3490 3852 4188 4815 5235 5778 6282 6420 6980 9423 9630 10470 11556 12564 14445 15705 18846 19260 20940 28890 31410 37343 37692 47115 57780 62820 74686 94230 112029 149372 186715 188460 224058 336087 373430 448116 560145 672174 746860 1008261 1120290 1344348 1680435 2016522 2240580 3360870 4033044 5041305 6721740 10082610 20165220