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220207211064 = 233423671032141
BaseRepresentation
bin1100110100010101011…
…1110110001000111000
3210001101121201100220000
43031011113312020320
512101441021223224
6245054540433000
721623640260541
oct3150527661070
9701347640800
10220207211064
1185431258a35
1236816b48760
13179c49073b9
14a92db054c8
155adc4c10c9
hex33455f6238

220207211064 has 320 divisors, whose sum is σ = 659856637440. Its totient is φ = 68459592960.

The previous prime is 220207211039. The next prime is 220207211093. The reversal of 220207211064 is 460112702022.

220207211064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 102851434 + ... + 102853574.

It is an arithmetic number, because the mean of its divisors is an integer number (2062051992).

Almost surely, 2220207211064 is an apocalyptic number.

220207211064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220207211064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329928318720).

220207211064 is an abundant number, since it is smaller than the sum of its proper divisors (439649426376).

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

220207211064 is a wasteful number, since it uses less digits than its factorization.

220207211064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 220207211064 its reverse (460112702022), we get a palindrome (680319913086).

The spelling of 220207211064 in words is "two hundred twenty billion, two hundred seven million, two hundred eleven thousand, sixty-four".