Search a number
-
+
2261260096 = 2660158789
BaseRepresentation
bin1000011011001000…
…0001011101000000
312211120221220200221
42012302001131000
514112340310341
61012214352424
7110015252014
oct20662013500
95746856627
102261260096
11a604711a7
1253135b714
132a0630034
14176466544
15d37bced1
hex86c81740

2261260096 has 28 divisors (see below), whose sum is σ = 4494730660. Its totient is φ = 1128729600.

The previous prime is 2261260093. The next prime is 2261260121. The reversal of 2261260096 is 6900621622.

It can be written as a sum of positive squares in 2 ways, for example, as 2103506496 + 157753600 = 45864^2 + 12560^2 .

It is a super-2 number, since 2×22612600962 = 10226594443523858432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261260093) 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 3 ways as a sum of consecutive naturals, for example, 9070 + ... + 67858.

It is an arithmetic number, because the mean of its divisors is an integer number (160526095).

Almost surely, 22261260096 is an apocalyptic number.

It is an amenable number.

2261260096 is a deficient number, since it is larger than the sum of its proper divisors (2233470564).

2261260096 is an equidigital number, since it uses as much as digits as its factorization.

2261260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59402 (or 59392 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2261260096 is about 47552.7086084484. The cubic root of 2261260096 is about 1312.5529718424.

The spelling of 2261260096 in words is "two billion, two hundred sixty-one million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 601 1202 2404 4808 9616 19232 38464 58789 117578 235156 470312 940624 1881248 3762496 35332189 70664378 141328756 282657512 565315024 1130630048 2261260096