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2201200222068 = 2232173596732389
BaseRepresentation
bin100000000010000001110…
…000011101111101110100
321210102200102120010121200
4200002001300131331310
5242031024224101233
64403114544012500
7315013536113541
oct40020160357564
97712612503550
102201200222068
1177958415a651
122b6735601130
1312c759424b03
147877811bbc8
153c3d19d3313
hex20081c1df74

2201200222068 has 36 divisors (see below), whose sum is σ = 5891447654820. Its totient is φ = 690572618496.

The previous prime is 2201200222021. The next prime is 2201200222069. The reversal of 2201200222068 is 8602220021022.

It can be written as a sum of positive squares in 2 ways, for example, as 1615268148624 + 585932073444 = 1270932^2 + 765462^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201200222069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1798365583 + ... + 1798366806.

It is an arithmetic number, because the mean of its divisors is an integer number (163651323745).

Almost surely, 22201200222068 is an apocalyptic number.

It is an amenable number.

2201200222068 is an abundant number, since it is smaller than the sum of its proper divisors (3690247432752).

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

2201200222068 is a wasteful number, since it uses less digits than its factorization.

2201200222068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596732416 (or 3596732411 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2201200222068 in words is "two trillion, two hundred one billion, two hundred million, two hundred twenty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3596732389 7193464778 10790197167 14386929556 21580394334 32370591501 43160788668 61144450613 64741183002 122288901226 129482366004 183433351839 244577802452 366866703678 550300055517 733733407356 1100600111034 2201200222068