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220460 = 22573151
BaseRepresentation
bin110101110100101100
3102012102012
4311310230
524023320
64420352
71605512
oct656454
9365365
10220460
111406a9
12a76b8
1379466
145a4b2
15454c5
hex35d2c

220460 has 24 divisors (see below), whose sum is σ = 472416. Its totient is φ = 86400.

The previous prime is 220447. The next prime is 220469. The reversal of 220460 is 64022.

220460 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 2×2204602 = 97205223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220469) by changing a digit.

220460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1385 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (19684).

2220460 is an apocalyptic number.

220460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220460 is an abundant number, since it is smaller than the sum of its proper divisors (251956).

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

220460 is a wasteful number, since it uses less digits than its factorization.

220460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220460 is about 469.5316815722. The cubic root of 220460 is about 60.4101528187.

Adding to 220460 its reverse (64022), we get a palindrome (284482).

The spelling of 220460 in words is "two hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 73 146 151 292 302 365 604 730 755 1460 1510 3020 11023 22046 44092 55115 110230 220460