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220420444224 = 2631378379731
BaseRepresentation
bin1100110101001000010…
…1010001000001000000
3210001221110221201210110
43031102011101001000
512102410113203344
6245132035031320
721632136601551
oct3152205210100
9701843851713
10220420444224
118553065a192
123687643b540
1317a29b45a76
14a950170328
155b010913b9
hex3352151040

220420444224 has 56 divisors (see below), whose sum is σ = 587452732128. Its totient is φ = 72937169920.

The previous prime is 220420444213. The next prime is 220420444243. The reversal of 220420444224 is 422444024022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220420444191 and 220420444200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4163562 + ... + 4216169.

Almost surely, 2220420444224 is an apocalyptic number.

220420444224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220420444224 is an abundant number, since it is smaller than the sum of its proper divisors (367032287904).

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

220420444224 is a wasteful number, since it uses less digits than its factorization.

220420444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379883 (or 8379873 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 220420444224 its reverse (422444024022), we get a palindrome (642864468246).

The spelling of 220420444224 in words is "two hundred twenty billion, four hundred twenty million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 8768 13152 26304 8379731 16759462 25139193 33518924 50278386 67037848 100556772 134075696 201113544 268151392 402227088 536302784 804454176 1148023147 1608908352 2296046294 3444069441 4592092588 6888138882 9184185176 13776277764 18368370352 27552555528 36736740704 55105111056 73473481408 110210222112 220420444224