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220117482 = 2321329163199
BaseRepresentation
bin11010001111010…
…11100111101010
3120100012010102100
431013223213222
5422322224412
633501514230
75311652634
oct1507534752
9510163370
10220117482
11103283582
1261872976
13367ac040
142133ba54
15144ceedc
hexd1eb9ea

220117482 has 96 divisors (see below), whose sum is σ = 537264000. Its totient is φ = 64665216.

The previous prime is 220117439. The next prime is 220117483. The reversal of 220117482 is 284711022.

It is not an unprimeable number, because it can be changed into a prime (220117483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1106019 + ... + 1106217.

It is an arithmetic number, because the mean of its divisors is an integer number (5596500).

Almost surely, 2220117482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220117482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268632000).

220117482 is an abundant number, since it is smaller than the sum of its proper divisors (317146518).

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

220117482 is a wasteful number, since it uses less digits than its factorization.

220117482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 220117482 is about 14836.3567630332. The cubic root of 220117482 is about 603.7885116182.

It can be divided in two parts, 2201 and 17482, that added together give a 9-th power (19683 = 39).

The spelling of 220117482 in words is "two hundred twenty million, one hundred seventeen thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 163 174 199 234 261 326 377 398 489 522 597 754 978 1131 1194 1467 1791 2119 2262 2587 2934 3393 3582 4238 4727 5174 5771 6357 6786 7761 9454 11542 12714 14181 15522 17313 19071 23283 28362 32437 34626 38142 42543 46566 51939 61451 64874 75023 85086 97311 103878 122902 150046 184353 194622 225069 291933 368706 421681 450138 553059 583866 675207 843362 940673 1106118 1265043 1350414 1881346 2530086 2822019 3795129 5644038 7590258 8466057 12228749 16932114 24457498 36686247 73372494 110058741 220117482