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220240421424 = 24321579741703
BaseRepresentation
bin1100110100011101011…
…0100010001000110000
3210001110221012121221100
43031013112202020300
512102023021441144
6245102124324400
721624522460002
oct3150726421060
9701427177840
10220240421424
1185448a81411
12368260a3700
13179cb7646ba
14a9342ac372
155ae0381269
hex33475a2230

220240421424 has 60 divisors (see below), whose sum is σ = 620293260496. Its totient is φ = 72945864576.

The previous prime is 220240421417. The next prime is 220240421437. The reversal of 220240421424 is 424124042022.

220240421424 is a `hidden beast` number, since 2 + 20 + 2 + 404 + 214 + 24 = 666.

It is a super-2 number, since 2×2202404214242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4848244 + ... + 4893459.

Almost surely, 2220240421424 is an apocalyptic number.

220240421424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220240421424 is an abundant number, since it is smaller than the sum of its proper divisors (400052839072).

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

220240421424 is a wasteful number, since it uses less digits than its factorization.

220240421424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741874 (or 9741865 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 220240421424 its reverse (424124042022), we get a palindrome (644364463446).

The spelling of 220240421424 in words is "two hundred twenty billion, two hundred forty million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 22608 9741703 19483406 29225109 38966812 58450218 77933624 87675327 116900436 155867248 175350654 233800872 350701308 467601744 701402616 1402805232 1529447371 3058894742 4588342113 6117789484 9176684226 12235578968 13765026339 18353368452 24471157936 27530052678 36706736904 55060105356 73413473808 110120210712 220240421424