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220322022201 = 32171440013217
BaseRepresentation
bin1100110100110000110…
…1110100001100111001
3210001200121202101011100
43031030031310030321
512102204414202301
6245114201322013
721626533201101
oct3151415641471
9701617671140
10220322022201
1185490046276
1236849496309
1317a12635598
14a941070201
155ae75ee286
hex334c374339

220322022201 has 12 divisors (see below), whose sum is σ = 336963093012. Its totient is φ = 138241268736.

The previous prime is 220322022149. The next prime is 220322022227. The reversal of 220322022201 is 102220223022.

220322022201 is a `hidden beast` number, since 220 + 3 + 220 + 2 + 220 + 1 = 666.

220322022201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129636722601 + 90685299600 = 360051^2 + 301140^2 .

It is not a de Polignac number, because 220322022201 - 211 = 220322020153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220322022281) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 720006456 + ... + 720006761.

It is an arithmetic number, because the mean of its divisors is an integer number (28080257751).

Almost surely, 2220322022201 is an apocalyptic number.

It is an amenable number.

220322022201 is a deficient number, since it is larger than the sum of its proper divisors (116641070811).

220322022201 is a wasteful number, since it uses less digits than its factorization.

220322022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440013240 (or 1440013237 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220322022201 its reverse (102220223022), we get a palindrome (322542245223).

The spelling of 220322022201 in words is "two hundred twenty billion, three hundred twenty-two million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 17 51 153 1440013217 4320039651 12960118953 24480224689 73440674067 220322022201