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11222406200196 = 2232172328432
BaseRepresentation
bin1010001101001110101110…
…0010001111101110000100
31110201211222210011021012100
42203103223202033232010
52432331441441401241
635511300252152100
72235535454533212
oct243235342175604
943654883137170
1011222406200196
113637439806a34
121312b89168630
13635364797949
142ab24b333cb2
15146dc1c479b6
hexa34eb88fb84

11222406200196 has 81 divisors (see below), whose sum is σ = 30135515987941. Its totient is φ = 3520647686784.

The previous prime is 11222406200149. The next prime is 11222406200207. The reversal of 11222406200196 is 69100260422211.

It is a happy number.

The square root of 11222406200196 is 3349986.

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

11222406200196 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 24 + 0 + 620 + 0 + 1 + 9 + 6 = 666.

11222406200196 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., 8737167456900 + 2485238743296 = 2955870^2 + 1576464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11222406200196.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341682151 + ... + 341714993.

Almost surely, 211222406200196 is an apocalyptic number.

11222406200196 is the 3349986-th square number.

It is an amenable number.

11222406200196 is an abundant number, since it is smaller than the sum of its proper divisors (18913109787745).

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

11222406200196 is an frugal number, since it uses more digits than its factorization.

11222406200196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65730 (or 32865 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 11222406200196 by its sum of digits (36), we get a square (404006623207056 = 200999162).

11222406200196 divided by its sum of digits (36) gives a square (311733505561 = 5583312).

It can be divided in two parts, 1122240 and 6200196, that added together give a square (7322436 = 27062).

The spelling of 11222406200196 in words is "eleven trillion, two hundred twenty-two billion, four hundred six million, two hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 32843 65686 98529 131372 197058 295587 394116 558331 591174 1116662 1182348 1674993 2233324 3349986 5024979 6699972 9491627 10049958 18983254 20099916 28474881 37966508 56949762 85424643 113899524 170849286 341698572 1078662649 2157325298 3235987947 4314650596 6471975894 9707963841 12943951788 18337265033 19415927682 36674530066 38831855364 55011795099 73349060132 110023590198 165035385297 220047180396 311733505561 330070770594 623467011122 660141541188 935200516683 1246934022244 1870401033366 2805601550049 3740802066732 5611203100098 11222406200196