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220400304 = 24319241667
BaseRepresentation
bin11010010001100…
…00101010110000
3120100201111101020
431020300222300
5422410302204
633511535440
75314241325
oct1510605260
9510644336
10220400304
11103457013
126198a580
133687a9a7
14213b2b4c
1514538bd9
hexd230ab0

220400304 has 40 divisors (see below), whose sum is σ = 599336640. Its totient is φ = 69599808.

The previous prime is 220400293. The next prime is 220400309. The reversal of 220400304 is 403004022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220400309) 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, 119922 + ... + 121745.

It is an arithmetic number, because the mean of its divisors is an integer number (14983416).

Almost surely, 2220400304 is an apocalyptic number.

220400304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220400304 is an abundant number, since it is smaller than the sum of its proper divisors (378936336).

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

220400304 is a wasteful number, since it uses less digits than its factorization.

220400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241697 (or 241691 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 220400304 is about 14845.8850864474. The cubic root of 220400304 is about 604.0469972056.

Adding to 220400304 its reverse (403004022), we get a palindrome (623404326).

The spelling of 220400304 in words is "two hundred twenty million, four hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 241667 483334 725001 966668 1450002 1933336 2900004 3866672 4591673 5800008 9183346 11600016 13775019 18366692 27550038 36733384 55100076 73466768 110200152 220400304