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220161240 = 23345135227
BaseRepresentation
bin11010001111101…
…10010011011000
3120100021100110000
431013312103120
5422330124430
633502453000
75312224335
oct1507662330
9510240400
10220161240
11103303442
1261894160
13367c5c30
142134d98c
15144dce60
hexd1f64d8

220161240 has 160 divisors (see below), whose sum is σ = 797060880. Its totient is φ = 54183168.

The previous prime is 220161239. The next prime is 220161251. The reversal of 220161240 is 42161022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39507 + ... + 44733.

Almost surely, 2220161240 is an apocalyptic number.

220161240 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 220161240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398530440).

220161240 is an abundant number, since it is smaller than the sum of its proper divisors (576899640).

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

220161240 is a wasteful number, since it uses less digits than its factorization.

220161240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220161240 is about 14837.8313779339. The cubic root of 220161240 is about 603.8285187800.

The spelling of 220161240 in words is "two hundred twenty million, one hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5227 5265 7020 8424 10454 10530 14040 15681 20908 21060 26135 31362 41816 42120 47043 52270 62724 67951 78405 94086 104540 125448 135902 141129 156810 188172 203853 209080 235215 271804 282258 313620 339755 376344 407706 423387 470430 543608 564516 611559 627240 679510 705645 815412 846774 940860 1019265 1129032 1223118 1359020 1411290 1630824 1693548 1834677 1881720 2038530 2116935 2446236 2718040 2822580 3057795 3387096 3669354 4077060 4233870 4892472 5504031 5645160 6115590 7338708 8154120 8467740 9173385 11008062 12231180 14677416 16935480 18346770 22016124 24462360 27520155 36693540 44032248 55040310 73387080 110080620 220161240