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220302320112 = 243272329327667
BaseRepresentation
bin1100110100101100001…
…0101010000111110000
3210001122020200101222100
43031023002222013300
512102134343220422
6245112215140400
721626203552440
oct3151302520760
9701566611870
10220302320112
118547aa09856
1236842974700
1317a0b527944
14a93c5c2120
155ae5a0b7ac
hex334b0aa1f0

220302320112 has 240 divisors, whose sum is σ = 760609175040. Its totient is φ = 58130569728.

The previous prime is 220302320093. The next prime is 220302320113. The reversal of 220302320112 is 211023203022.

220302320112 is a `hidden beast` number, since 220 + 302 + 32 + 0 + 112 = 666.

It is a super-2 number, since 2×2203023201122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220302320113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508503 + ... + 836169.

It is an arithmetic number, because the mean of its divisors is an integer number (3169204896).

Almost surely, 2220302320112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220302320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380304587520).

220302320112 is an abundant number, since it is smaller than the sum of its proper divisors (540306854928).

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

220302320112 is a wasteful number, since it uses less digits than its factorization.

220302320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327740 (or 327731 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220302320112 its reverse (211023203022), we get a palindrome (431325523134).

The spelling of 220302320112 in words is "two hundred twenty billion, three hundred two million, three hundred twenty thousand, one hundred twelve".