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201222222084 = 22310132712
BaseRepresentation
bin1011101101100111000…
…1110111000100000100
3201020101112010000000000
42323121301313010010
511244100342101314
6232235030321300
720352321444462
oct2733161670404
9636345100000
10201222222084
11783797757a4
1232bb8ab9230
1315c8a5c4300
149a4c557832
15537a8ee209
hex2ed9c77104

201222222084 has 297 divisors, whose sum is σ = 580131272469. Its totient is φ = 61042494240.

The previous prime is 201222222067. The next prime is 201222222109. The reversal of 201222222084 is 480222222102.

It is a happy number.

The square root of 201222222084 is 448578.

It is a perfect power (a square), and thus also a powerful number.

201222222084 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 only one way, i.e., 29766600900 + 171455621184 = 172530^2 + 414072^2 .

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

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 98 ways as a sum of consecutive naturals, for example, 2834115769 + ... + 2834115839.

Almost surely, 2201222222084 is an apocalyptic number.

201222222084 is the 448578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201222222084

201222222084 is an abundant number, since it is smaller than the sum of its proper divisors (378909050385).

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

201222222084 is an frugal number, since it uses more digits than its factorization.

201222222084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Multiplying 201222222084 by its product of nonzero digits (4096), we get a square (824206221656064 = 287089922).

Adding to 201222222084 its reverse (480222222102), we get a palindrome (681444444186).

The spelling of 201222222084 in words is "two hundred one billion, two hundred twenty-two million, two hundred twenty-two thousand, eighty-four".