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220230101322 = 23271121071271063
BaseRepresentation
bin1100110100011010111…
…1001010100101001010
3210001110012210022102100
43031012233022211022
512102012401220242
6245101115214230
721624335655150
oct3150657124512
9701405708370
10220230101322
1185443172800
1236822747376
13179c959022a
14a932b833d0
155ade4e354c
hex3346bca94a

220230101322 has 288 divisors, whose sum is σ = 610353709056. Its totient is φ = 56168925120.

The previous prime is 220230101291. The next prime is 220230101363. The reversal of 220230101322 is 223101032022.

220230101322 is a `hidden beast` number, since 220 + 23 + 0 + 101 + 322 = 666.

220230101322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202301013222 (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 junction number, because it is equal to n+sod(n) for n = 220230101295 and 220230101304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 207177363 + ... + 207178425.

It is an arithmetic number, because the mean of its divisors is an integer number (2119283712).

Almost surely, 2220230101322 is an apocalyptic number.

220230101322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220230101322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305176854528).

220230101322 is an abundant number, since it is smaller than the sum of its proper divisors (390123607734).

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

220230101322 is a wasteful number, since it uses less digits than its factorization.

220230101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1320 counting only the distinct ones).

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

Adding to 220230101322 its reverse (223101032022), we get a palindrome (443331133344).

The spelling of 220230101322 in words is "two hundred twenty billion, two hundred thirty million, one hundred one thousand, three hundred twenty-two".