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2206274841 = 341723072
BaseRepresentation
bin1000001110000001…
…0001010100011001
312200202111101010000
42003200101110121
514004301243331
61002532043213
7105450012111
oct20340212431
95622441100
102206274841
11a32425a41
12516a63509
1329211a794
1416d032041
15cda5b0e6
hex83811519

2206274841 has 45 divisors (see below), whose sum is σ = 3512508879. Its totient is φ = 1379820096.

The previous prime is 2206274809. The next prime is 2206274843. The reversal of 2206274841 is 1484726022.

2206274841 = 13 + 23 + ... + 3063.

The square root of 2206274841 is 46971.

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

2206274841 is a `hidden beast` number, since 2 + 20 + 627 + 4 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1717688025 + 488586816 = 41445^2 + 22104^2 .

It is not a de Polignac number, because 2206274841 - 25 = 2206274809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2206274796 and 2206274805.

It is not an unprimeable number, because it can be changed into a prime (2206274843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7186410 + ... + 7186716.

Almost surely, 22206274841 is an apocalyptic number.

2206274841 is the 46971-st square number.

2206274841 is the 23486-th centered octagonal number.

It is an amenable number.

2206274841 is a deficient number, since it is larger than the sum of its proper divisors (1306234038).

2206274841 is an frugal number, since it uses more digits than its factorization.

2206274841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The cubic root of 2206274841 is about 1301.8267889523.

Multiplying 2206274841 by its sum of digits (36), we get a square (79425894276 = 2818262).

The spelling of 2206274841 in words is "two billion, two hundred six million, two hundred seventy-four thousand, eight hundred forty-one".

Divisors: 1 3 9 17 27 51 81 153 289 307 459 867 921 1377 2601 2763 5219 7803 8289 15657 23409 24867 46971 88723 94249 140913 266169 282747 422739 798507 848241 1602233 2395521 2544723 4806699 7186563 7634169 14420097 27237961 43260291 81713883 129780873 245141649 735424947 2206274841