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2241086402196 = 2232411518351221
BaseRepresentation
bin100000100111001011001…
…010001010111010010100
321221020122011110000121100
4200213023022022322110
5243204221104332241
64433312455150100
7320625132053145
oct40471312127224
97836564400540
102241086402196
11794491938084
12302407375330
13133444a35425
147a67d53bacc
153d4684d59b6
hex209cb28ae94

2241086402196 has 36 divisors (see below), whose sum is σ = 5803138370484. Its totient is φ = 728808585600.

The previous prime is 2241086402183. The next prime is 2241086402201. The reversal of 2241086402196 is 6912046801422.

It is a happy number.

2241086402196 is a `hidden beast` number, since 2 + 2 + 410 + 8 + 6 + 40 + 2 + 196 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 721758990096 + 1519327412100 = 849564^2 + 1232610^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22410864021962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759174135 + ... + 759177086.

It is an arithmetic number, because the mean of its divisors is an integer number (161198288069).

Almost surely, 22241086402196 is an apocalyptic number.

It is an amenable number.

2241086402196 is an abundant number, since it is smaller than the sum of its proper divisors (3562051968288).

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

2241086402196 is a wasteful number, since it uses less digits than its factorization.

2241086402196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518351272 (or 1518351267 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2241086402196 in words is "two trillion, two hundred forty-one billion, eighty-six million, four hundred two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1518351221 3036702442 4555053663 6073404884 9110107326 13665160989 18220214652 27330321978 54660643956 62252400061 124504800122 186757200183 249009600244 373514400366 560271600549 747028800732 1120543201098 2241086402196