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220334982 = 23719299521
BaseRepresentation
bin11010010001000…
…00101110000110
3120100121011202220
431020200232012
5422401204412
633510313210
75313550020
oct1510405606
9510534686
10220334982
11103411a2a
1261958806
133685703a
1421397010
151452468c
hexd220b86

220334982 has 64 divisors (see below), whose sum is σ = 548467200. Its totient is φ = 57576960.

The previous prime is 220334929. The next prime is 220334987. The reversal of 220334982 is 289433022.

220334982 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220334987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18382 + ... + 27902.

It is an arithmetic number, because the mean of its divisors is an integer number (8569800).

Almost surely, 2220334982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220334982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274233600).

220334982 is an abundant number, since it is smaller than the sum of its proper divisors (328132218).

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

220334982 is a wasteful number, since it uses less digits than its factorization.

220334982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 220334982 is about 14843.6849198573. The cubic root of 220334982 is about 603.9873157139.

The spelling of 220334982 in words is "two hundred twenty million, three hundred thirty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 3306 3857 7714 9521 11571 19042 23142 28563 57126 66647 133294 180899 199941 276109 361798 399882 542697 552218 828327 1085394 1266293 1656654 1932763 2532586 3798879 3865526 5246071 5798289 7597758 10492142 11596578 15738213 31476426 36722497 73444994 110167491 220334982