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2226574293241 = 232648772
BaseRepresentation
bin100000011001101010001…
…010110111100011111001
321212212011210100111121111
4200121222022313203321
5242440011004340431
64422512450240321
7316602405135454
oct40315212674371
97785153314544
102226574293241
11789315161901
122bb6372860a1
13131c712c19cc
1479aa403a49b
153cdb94467b1
hex2066a2b78f9

2226574293241 has 9 divisors (see below), whose sum is σ = 2327626773871. Its totient is φ = 2129733887512.

The previous prime is 2226574293227. The next prime is 2226574293269. The reversal of 2226574293241 is 1423924756222.

The square root of 2226574293241 is 1492171.

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

2226574293241 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., 2177292069225 + 49282224016 = 1475565^2 + 221996^2 .

It is not a de Polignac number, because 2226574293241 - 215 = 2226574260473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2226574293641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34287495 + ... + 34352371.

Almost surely, 22226574293241 is an apocalyptic number.

2226574293241 is the 1492171-st square number.

2226574293241 is the 746086-th centered octagonal number.

It is an amenable number.

2226574293241 is a deficient number, since it is larger than the sum of its proper divisors (101052480630).

2226574293241 is an frugal number, since it uses more digits than its factorization.

2226574293241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129800 (or 64900 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

Multiplying 2226574293241 by its sum of digits (49), we get a square (109102140368809 = 104451972).

The spelling of 2226574293241 in words is "two trillion, two hundred twenty-six billion, five hundred seventy-four million, two hundred ninety-three thousand, two hundred forty-one".

Divisors: 1 23 529 64877 1492171 34319933 4209025129 96807577967 2226574293241