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220424004 = 2234680321
BaseRepresentation
bin11010010001101…
…10011101000100
3120100202200220000
431020312131010
5422412032004
633512241300
75314400403
oct1510663504
9510680800
10220424004
111034728a9
12619a0230
1336888708
14213bb63a
1514540c39
hexd236744

220424004 has 30 divisors (see below), whose sum is σ = 576232734. Its totient is φ = 73474560.

The previous prime is 220423999. The next prime is 220424027. The reversal of 220424004 is 400424022.

220424004 is a `hidden beast` number, since 220 + 42 + 400 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 217857600 + 2566404 = 14760^2 + 1602^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 339837 + ... + 340484.

Almost surely, 2220424004 is an apocalyptic number.

It is an amenable number.

220424004 is an abundant number, since it is smaller than the sum of its proper divisors (355808730).

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

220424004 is a wasteful number, since it uses less digits than its factorization.

220424004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680337 (or 680326 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220424004 is about 14846.6832659689. The cubic root of 220424004 is about 604.0686478120.

Adding to 220424004 its sum of digits (18), we get a palindrome (220424022).

Adding to 220424004 its reverse (400424022), we get a palindrome (620848026).

The spelling of 220424004 in words is "two hundred twenty million, four hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 680321 1360642 2040963 2721284 4081926 6122889 8163852 12245778 18368667 24491556 36737334 55106001 73474668 110212002 220424004