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7226190049 = 1345032
BaseRepresentation
bin1101011101011011…
…01110100011100001
3200122121100111012111
412232231232203201
5104244401040144
63153014155321
7344033413321
oct65655564341
920577314174
107226190049
113078aa55a1
121498052b41
138b2130000
144c79d9281
152c45e8534
hex1aeb6e8e1

7226190049 has 15 divisors (see below), whose sum is σ = 7843945733. Its totient is φ = 6657068184.

The previous prime is 7226190019. The next prime is 7226190079. The reversal of 7226190049 is 9400916227.

The square root of 7226190049 is 85007.

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

It is an interprime number because it is at equal distance from previous prime (7226190019) and next prime (7226190079).

It can be written as a sum of positive squares in 2 ways, for example, as 3582860449 + 3643329600 = 59857^2 + 60360^2 .

It is not a de Polignac number, because 7226190049 - 219 = 7225665761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7226189993 and 7226190020.

It is not an unprimeable number, because it can be changed into a prime (7226190019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14365932 + ... + 14366434.

Almost surely, 27226190049 is an apocalyptic number.

7226190049 is the 85007-th square number.

7226190049 is the 42504-th centered octagonal number.

It is an amenable number.

7226190049 is a deficient number, since it is larger than the sum of its proper divisors (617755684).

7226190049 is an frugal number, since it uses more digits than its factorization.

7226190049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The cubic root of 7226190049 is about 1933.3172522212.

The spelling of 7226190049 in words is "seven billion, two hundred twenty-six million, one hundred ninety thousand, forty-nine".

Divisors: 1 13 169 503 2197 6539 28561 85007 253009 1105091 3289117 14366183 42758521 555860773 7226190049