Search a number
-
+
2263566221 = 72145331793
BaseRepresentation
bin1000011011101011…
…0100011110001101
312211202022002002222
42012322310132031
514113433104341
61012340025125
7110043665300
oct20672643615
95752262088
102263566221
11a617a6894
125320921a5
132a0c598c7
141768a6b37
15d3ac644b
hex86eb478d

2263566221 has 12 divisors (see below), whose sum is σ = 2635023132. Its totient is φ = 1938803328.

The previous prime is 2263566209. The next prime is 2263566251. The reversal of 2263566221 is 1226653622.

It can be written as a sum of positive squares in 2 ways, for example, as 2003905225 + 259660996 = 44765^2 + 16114^2 .

It is not a de Polignac number, because 2263566221 - 210 = 2263565197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263566251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55301 + ... + 87093.

It is an arithmetic number, because the mean of its divisors is an integer number (219585261).

Almost surely, 22263566221 is an apocalyptic number.

It is an amenable number.

2263566221 is a deficient number, since it is larger than the sum of its proper divisors (371456911).

2263566221 is a wasteful number, since it uses less digits than its factorization.

2263566221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33260 (or 33253 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 2263566221 is about 47576.9505222855. The cubic root of 2263566221 is about 1312.9990185431. Note that the first 3 decimals are identical.

The spelling of 2263566221 in words is "two billion, two hundred sixty-three million, five hundred sixty-six thousand, two hundred twenty-one".

Divisors: 1 7 49 1453 10171 31793 71197 222551 1557857 46195229 323366603 2263566221