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220414112 = 2517419967
BaseRepresentation
bin11010010001101…
…00000010100000
3120100202012022122
431020310002200
5422411222422
633512123412
75314326512
oct1510640240
9510665278
10220414112
11103466426
1261996568
1336884069
14213b7bb2
151453cd42
hexd2340a0

220414112 has 48 divisors (see below), whose sum is σ = 461039040. Its totient is φ = 103369728.

The previous prime is 220414109. The next prime is 220414141. The reversal of 220414112 is 211414022.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227453 + ... + 228419.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2220414112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

220414112 is an abundant number, since it is smaller than the sum of its proper divisors (240624928).

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

220414112 is a wasteful number, since it uses less digits than its factorization.

220414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 220414112 is about 14846.3501238520. The cubic root of 220414112 is about 604.0596113847.

Adding to 220414112 its reverse (211414022), we get a palindrome (431828134).

The spelling of 220414112 in words is "two hundred twenty million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 419 544 838 967 1676 1934 3352 3868 6704 7123 7736 13408 14246 15472 16439 28492 30944 32878 56984 65756 113968 131512 227936 263024 405173 526048 810346 1620692 3241384 6482768 6887941 12965536 13775882 27551764 55103528 110207056 220414112