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220112299984 = 2417247602141
BaseRepresentation
bin1100110011111110110…
…1110010011111010000
3210001011000010101100211
43030333231302133100
512101242222044414
6245041310253504
721621405452053
oct3147755623720
9701130111324
10220112299984
1185392722925
12367ab1b7294
13179ab055cb5
14a92127aa9a
155ad3ec43c4
hex333fb727d0

220112299984 has 30 divisors (see below), whose sum is σ = 453029585414. Its totient is φ = 103582256640.

The previous prime is 220112299951. The next prime is 220112299987. The reversal of 220112299984 is 489992211022.

It can be written as a sum of positive squares in 3 ways, for example, as 159063773584 + 61048526400 = 398828^2 + 247080^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112299987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23796447 + ... + 23805694.

Almost surely, 2220112299984 is an apocalyptic number.

It is an amenable number.

220112299984 is an abundant number, since it is smaller than the sum of its proper divisors (232917285430).

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

220112299984 is a wasteful number, since it uses less digits than its factorization.

220112299984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47602183 (or 47602160 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 220112299984 in words is "two hundred twenty billion, one hundred twelve million, two hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 47602141 95204282 190408564 380817128 761634256 809236397 1618472794 3236945588 6473891176 12947782352 13757018749 27514037498 55028074996 110056149992 220112299984