Search a number
-
+
2261085507 = 32416127603
BaseRepresentation
bin1000011011000101…
…0110110101000011
312211120122001012200
42012301112311003
514112314214012
61012210524243
7110013624012
oct20661266503
95746561180
102261085507
11a6036200a
12531296683
132a059b725
1417641ca79
15d37863dc
hex86c56d43

2261085507 has 12 divisors (see below), whose sum is σ = 3345671784. Its totient is φ = 1470624480.

The previous prime is 2261085487. The next prime is 2261085529. The reversal of 2261085507 is 7055801622.

It is a happy number.

It is not a de Polignac number, because 2261085507 - 28 = 2261085251 is a prime.

It is a super-2 number, since 2×22610855072 = 10225015339930894098, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2261085707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3063433 + ... + 3064170.

It is an arithmetic number, because the mean of its divisors is an integer number (278805982).

Almost surely, 22261085507 is an apocalyptic number.

2261085507 is a deficient number, since it is larger than the sum of its proper divisors (1084586277).

2261085507 is a wasteful number, since it uses less digits than its factorization.

2261085507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127650 (or 6127647 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2261085507 is about 47550.8728311058. The cubic root of 2261085507 is about 1312.5191907942.

The spelling of 2261085507 in words is "two billion, two hundred sixty-one million, eighty-five thousand, five hundred seven".

Divisors: 1 3 9 41 123 369 6127603 18382809 55148427 251231723 753695169 2261085507