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2269087309801 = 1321158732
BaseRepresentation
bin100001000001010000001…
…001001001111111101001
322000220220121002111202101
4201001100021021333221
5244134042322403201
64454223155533401
7322636045620244
oct41012011117751
98026817074671
102269087309801
117a53506a4434
123079208ba261
13135c87bb0300
147bb7828625b
153e05687ad01
hex21050249fe9

2269087309801 has 9 divisors (see below), whose sum is σ = 2457080244549. Its totient is φ = 2094524055936.

The previous prime is 2269087309787. The next prime is 2269087309817. The reversal of 2269087309801 is 1089037809622.

The square root of 2269087309801 is 1506349.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28257946201 + 2240829363600 = 168101^2 + 1496940^2 .

It is not a de Polignac number, because 2269087309801 - 27 = 2269087309673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2269087309831) 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 8 ways as a sum of consecutive naturals, for example, 19524601 + ... + 19640473.

It is an arithmetic number, because the mean of its divisors is an integer number (273008916061).

Almost surely, 22269087309801 is an apocalyptic number.

2269087309801 is the 1506349-th square number.

2269087309801 is the 753175-th centered octagonal number.

It is an amenable number.

2269087309801 is a deficient number, since it is larger than the sum of its proper divisors (187992934748).

2269087309801 is an frugal number, since it uses more digits than its factorization.

2269087309801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231772 (or 115886 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 2269087309801 in words is "two trillion, two hundred sixty-nine billion, eighty-seven million, three hundred nine thousand, eight hundred one".

Divisors: 1 13 169 115873 1506349 19582537 13426552129 174545177677 2269087309801