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204224420 = 22510211221
BaseRepresentation
bin11000010110000…
…11011110100100
3112020021200020102
430023003132210
5404240140140
632133123232
75026610321
oct1413033644
9466250212
10204224420
11a5308914
1258489518
133340606a
141d1a1b48
1512de0e15
hexc2c37a4

204224420 has 12 divisors (see below), whose sum is σ = 428871324. Its totient is φ = 81689760.

The previous prime is 204224411. The next prime is 204224441. The reversal of 204224420 is 24422402.

It can be written as a sum of positive squares in 2 ways, for example, as 120648256 + 83576164 = 10984^2 + 9142^2 .

It is a super-2 number, since 2×2042244202 = 83415227448672800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10211221 = 204224420 / (2 + 0 + 4 + 2 + 2 + 4 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 204224392 and 204224401.

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 3 ways as a sum of consecutive naturals, for example, 5105591 + ... + 5105630.

It is an arithmetic number, because the mean of its divisors is an integer number (35739277).

Almost surely, 2204224420 is an apocalyptic number.

204224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204224420 is an abundant number, since it is smaller than the sum of its proper divisors (224646904).

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

204224420 is a wasteful number, since it uses less digits than its factorization.

204224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211230 (or 10211228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 204224420 is about 14290.7109690176. The cubic root of 204224420 is about 588.8923198777.

Adding to 204224420 its reverse (24422402), we get a palindrome (228646822).

It can be divided in two parts, 20422 and 4420, that added together give a palindrome (24842).

The spelling of 204224420 in words is "two hundred four million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 10211221 20422442 40844884 51056105 102112210 204224420