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220343120 = 24517162017
BaseRepresentation
bin11010010001000…
…10101101010000
3120100121120221022
431020202231100
5422401434440
633510415012
75313612524
oct1510425520
9510546838
10220343120
11103418058
1261961468
133685a95a
1421399d84
1514526cb5
hexd222b50

220343120 has 40 divisors (see below), whose sum is σ = 542436264. Its totient is φ = 82952192.

The previous prime is 220343119. The next prime is 220343129. The reversal of 220343120 is 21343022.

It can be written as a sum of positive squares in 4 ways, for example, as 21307456 + 199035664 = 4616^2 + 14108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220343129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79649 + ... + 82368.

Almost surely, 2220343120 is an apocalyptic number.

220343120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220343120 is an abundant number, since it is smaller than the sum of its proper divisors (322093144).

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

220343120 is a wasteful number, since it uses less digits than its factorization.

220343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162047 (or 162041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 220343120 is about 14843.9590406333. The cubic root of 220343120 is about 603.9947516466.

Adding to 220343120 its reverse (21343022), we get a palindrome (241686142).

The spelling of 220343120 in words is "two hundred twenty million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 162017 324034 648068 810085 1296136 1620170 2592272 2754289 3240340 5508578 6480680 11017156 12961360 13771445 22034312 27542890 44068624 55085780 110171560 220343120