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220214214 = 23411191647
BaseRepresentation
bin11010010000000…
…11001111000110
3120100101001010000
431020003033012
5422333323324
633503542130
75312534643
oct1510031706
9510331100
10220214214
1110333a220
12618ba946
133681408c
1421364dca
15144ed9c9
hexd2033c6

220214214 has 80 divisors (see below), whose sum is σ = 541956096. Its totient is φ = 66279600.

The previous prime is 220214207. The next prime is 220214219. The reversal of 220214214 is 412412022.

220214214 is a `hidden beast` number, since 220 + 21 + 421 + 4 = 666.

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 (220214219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 340039 + ... + 340685.

Almost surely, 2220214214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220214214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270978048).

220214214 is an abundant number, since it is smaller than the sum of its proper divisors (321741882).

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

220214214 is a wasteful number, since it uses less digits than its factorization.

220214214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220214214 is about 14839.6163697044. The cubic root of 220214214 is about 603.8769448741.

Adding to 220214214 its reverse (412412022), we get a palindrome (632626236).

The spelling of 220214214 in words is "two hundred twenty million, two hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 191 198 297 382 573 594 647 891 1146 1294 1719 1782 1941 2101 3438 3882 4202 5157 5823 6303 7117 10314 11646 12606 14234 15471 17469 18909 21351 30942 34938 37818 42702 52407 56727 64053 104814 113454 123577 128106 170181 192159 247154 340362 370731 384318 576477 741462 1112193 1152954 1359347 2224386 2718694 3336579 4078041 6673158 8156082 10009737 12234123 20019474 24468246 36702369 73404738 110107107 220214214