Search a number
-
+
2263304240 = 245167169409
BaseRepresentation
bin1000011011100111…
…0100100000110000
312211201210202201222
42012321310200300
514113401213430
61012330244212
7110041524431
oct20671644060
95751722658
102263304240
11a61637a7a
12531b86668
132a0b975a2
14176839488
15d3a739e5
hex86e74830

2263304240 has 40 divisors (see below), whose sum is σ = 5293723680. Its totient is φ = 899895296.

The previous prime is 2263304221. The next prime is 2263304249. The reversal of 2263304240 is 424033622.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2263304249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71345 + ... + 98064.

It is an arithmetic number, because the mean of its divisors is an integer number (132343092).

Almost surely, 22263304240 is an apocalyptic number.

2263304240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263304240 is an abundant number, since it is smaller than the sum of its proper divisors (3030419440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2263304240 is a wasteful number, since it uses less digits than its factorization.

2263304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169589 (or 169583 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2263304240 is about 47574.1972081506. The cubic root of 2263304240 is about 1312.9483618899.

Adding to 2263304240 its reverse (424033622), we get a palindrome (2687337862).

The spelling of 2263304240 in words is "two billion, two hundred sixty-three million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 169409 338818 677636 847045 1355272 1694090 2710544 3388180 6776360 13552720 28291303 56582606 113165212 141456515 226330424 282913030 452660848 565826060 1131652120 2263304240