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224022200420 = 22526393424397
BaseRepresentation
bin1101000010100011000…
…0111000000001100100
3210102020111021220110002
43100220300320001210
512132244140403140
6250525301120432
722120323166514
oct3205060700144
9712214256402
10224022200420
11870097679a7
12375006b9118
13181820bc355
14abb2659844
155c6239d415
hex3428c38064

224022200420 has 24 divisors (see below), whose sum is σ = 470465554104. Its totient is φ = 89605273856.

The previous prime is 224022200417. The next prime is 224022200471. The reversal of 224022200420 is 24002220422.

It can be written as a sum of positive squares in 4 ways, for example, as 23217835876 + 200804364544 = 152374^2 + 448112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224022200392 and 224022200401.

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 7 ways as a sum of consecutive naturals, for example, 315662 + ... + 740058.

It is an arithmetic number, because the mean of its divisors is an integer number (19602731421).

Almost surely, 2224022200420 is an apocalyptic number.

224022200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224022200420 is an abundant number, since it is smaller than the sum of its proper divisors (246443353684).

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

224022200420 is a wasteful number, since it uses less digits than its factorization.

224022200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450799 (or 450797 counting only the distinct ones).

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

Adding to 224022200420 its reverse (24002220422), we get a palindrome (248024420842).

The spelling of 224022200420 in words is "two hundred twenty-four billion, twenty-two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 26393 52786 105572 131965 263930 424397 527860 848794 1697588 2121985 4243970 8487940 11201110021 22402220042 44804440084 56005550105 112011100210 224022200420