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220214340 = 2232510112113
BaseRepresentation
bin11010010000000…
…11010001000100
3120100101001021200
431020003101010
5422333324330
633503542500
75312535213
oct1510032104
9510331250
10220214340
1110333a325
12618baa30
1336814158
142136507a
15144eda60
hexd203444

220214340 has 72 divisors (see below), whose sum is σ = 674652888. Its totient is φ = 58137600.

The previous prime is 220214339. The next prime is 220214341. The reversal of 220214340 is 43412022.

It is an interprime number because it is at equal distance from previous prime (220214339) and next prime (220214341).

It can be written as a sum of positive squares in 4 ways, for example, as 53494596 + 166719744 = 7314^2 + 12912^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220214341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12124 + ... + 24236.

It is an arithmetic number, because the mean of its divisors is an integer number (9370179).

Almost surely, 2220214340 is an apocalyptic number.

220214340 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 220214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337326444).

220214340 is an abundant number, since it is smaller than the sum of its proper divisors (454438548).

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

220214340 is a wasteful number, since it uses less digits than its factorization.

220214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12229 (or 12224 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220214340 is about 14839.6206150966. The cubic root of 220214340 is about 603.8770600475.

Adding to 220214340 its reverse (43412022), we get a palindrome (263626362).

The spelling of 220214340 in words is "two hundred twenty million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 12113 18180 24226 36339 48452 60565 72678 109017 121130 145356 181695 218034 242260 363390 436068 545085 726780 1090170 1223413 2180340 2446826 3670239 4893652 6117065 7340478 11010717 12234130 14680956 18351195 22021434 24468260 36702390 44042868 55053585 73404780 110107170 220214340