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220310514 = 232172321361
BaseRepresentation
bin11010010000110…
…10101111110010
3120100112221012200
431020122233302
5422344414024
633510004030
75313415464
oct1510325762
9510487180
10220310514
111033a5606
1261946616
1336848b68
142138c134
151451c2c9
hexd21abf2

220310514 has 72 divisors (see below), whose sum is σ = 528736572. Its totient is φ = 66063360.

The previous prime is 220310513. The next prime is 220310527. The reversal of 220310514 is 415013022.

220310514 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 220077225 + 233289 = 14835^2 + 483^2 .

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220310513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161194 + ... + 162554.

Almost surely, 2220310514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220310514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264368286).

220310514 is an abundant number, since it is smaller than the sum of its proper divisors (308426058).

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

220310514 is a wasteful number, since it uses less digits than its factorization.

220310514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1406 counting only the distinct ones).

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

The square root of 220310514 is about 14842.8607080980. The cubic root of 220310514 is about 603.9649574717.

Adding to 220310514 its reverse (415013022), we get a palindrome (635323536).

The spelling of 220310514 in words is "two hundred twenty million, three hundred ten thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 529 782 1058 1173 1361 1587 2346 2722 3174 3519 4083 4761 7038 8166 8993 9522 12249 17986 23137 24498 26979 31303 46274 53958 62606 69411 80937 93909 138822 161874 187818 208233 281727 416466 532151 563454 719969 1064302 1439938 1596453 2159907 3192906 4319814 4789359 6479721 9578718 12239473 12959442 24478946 36718419 73436838 110155257 220310514