Search a number
-
+
2261629845 = 32550258441
BaseRepresentation
bin1000011011001101…
…1011101110010101
312211121122200220100
42012303123232111
514112434123340
61012230324313
7110021352006
oct20663335625
95747580810
102261629845
11a606a3a82
125314b9699
132a072c417
141765211ad
15d3842830
hex86cdbb95

2261629845 has 12 divisors (see below), whose sum is σ = 3920158476. Its totient is φ = 1206202560.

The previous prime is 2261629841. The next prime is 2261629861. The reversal of 2261629845 is 5489261622.

2261629845 is a `hidden beast` number, since 2 + 2 + 616 + 29 + 8 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 720439281 + 1541190564 = 26841^2 + 39258^2 .

It is not a de Polignac number, because 2261629845 - 22 = 2261629841 is a prime.

It is a super-2 number, since 2×22616298452 = 10229939111589448050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 50258441 = 2261629845 / (2 + 2 + 6 + 1 + 6 + 2 + 9 + 8 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 2261629845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261629841) 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, 25129176 + ... + 25129265.

It is an arithmetic number, because the mean of its divisors is an integer number (326679873).

Almost surely, 22261629845 is an apocalyptic number.

It is an amenable number.

2261629845 is a deficient number, since it is larger than the sum of its proper divisors (1658528631).

2261629845 is a wasteful number, since it uses less digits than its factorization.

2261629845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50258452 (or 50258449 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2261629845 is about 47556.5962301761. The cubic root of 2261629845 is about 1312.6245084604.

The spelling of 2261629845 in words is "two billion, two hundred sixty-one million, six hundred twenty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 50258441 150775323 251292205 452325969 753876615 2261629845