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220343240 = 23513643659
BaseRepresentation
bin11010010001000…
…10101111001000
3120100121121002202
431020202233020
5422401440430
633510415332
75313613055
oct1510425710
9510547082
10220343240
11103418157
1261961548
133685aa20
142139a02c
1514526d45
hexd222bc8

220343240 has 64 divisors (see below), whose sum is σ = 535550400. Its totient is φ = 81107712.

The previous prime is 220343231. The next prime is 220343261. The reversal of 220343240 is 42343022.

220343240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2203432402 = 97102286827395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334031 + ... + 334689.

It is an arithmetic number, because the mean of its divisors is an integer number (8367975).

Almost surely, 2220343240 is an apocalyptic number.

220343240 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 220343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267775200).

220343240 is an abundant number, since it is smaller than the sum of its proper divisors (315207160).

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

220343240 is a wasteful number, since it uses less digits than its factorization.

220343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 220343240 is about 14843.9630826811. The cubic root of 220343240 is about 603.9948612928.

Adding to 220343240 its reverse (42343022), we get a palindrome (262686262).

The spelling of 220343240 in words is "two hundred twenty million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 643 659 1286 1318 2572 2636 3215 3295 5144 5272 6430 6590 8359 8567 12860 13180 16718 17134 25720 26360 33436 34268 41795 42835 66872 68536 83590 85670 167180 171340 334360 342680 423737 847474 1694948 2118685 3389896 4237370 5508581 8474740 11017162 16949480 22034324 27542905 44068648 55085810 110171620 220343240