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220001320 = 23571171429
BaseRepresentation
bin11010001110011…
…11010000101000
3120022222020002001
431013033100220
5422310020240
633455220344
75310660160
oct1507172050
9508866061
10220001320
11103204280
12618176b4
133676b1c6
142130b5a0
15144aa89a
hexd1cf428

220001320 has 64 divisors (see below), whose sum is σ = 617155200. Its totient is φ = 68570880.

The previous prime is 220001317. The next prime is 220001321. The reversal of 220001320 is 23100022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220001297 and 220001306.

It is not an unprimeable number, because it can be changed into a prime (220001321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32635 + ... + 38794.

It is an arithmetic number, because the mean of its divisors is an integer number (9643050).

Almost surely, 2220001320 is an apocalyptic number.

220001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001320 is an abundant number, since it is smaller than the sum of its proper divisors (397153880).

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

220001320 is a wasteful number, since it uses less digits than its factorization.

220001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71458 (or 71454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 220001320 is about 14832.4414713155. The cubic root of 220001320 is about 603.6822810395.

Adding to 220001320 its reverse (23100022), we get a palindrome (243101342).

The spelling of 220001320 in words is "two hundred twenty million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 71429 142858 285716 357145 500003 571432 714290 785719 1000006 1428580 1571438 2000012 2500015 2857160 3142876 3928595 4000024 5000030 5500033 6285752 7857190 10000060 11000066 15714380 20000120 22000132 27500165 31428760 44000264 55000330 110000660 220001320