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2314220240 = 24528927753
BaseRepresentation
bin1000100111110000…
…0011001011010000
312222021121120100202
42021330003023100
514214420021430
61021345434332
7111230355533
oct21174031320
95867546322
102314220240
11a88353a12
1254703b9a8
132ab5b38b7
1417d4d0a1a
15d827ed45
hex89f032d0

2314220240 has 20 divisors (see below), whose sum is σ = 5380562244. Its totient is φ = 925688064.

The previous prime is 2314220219. The next prime is 2314220243. The reversal of 2314220240 is 420224132.

It can be written as a sum of positive squares in 2 ways, for example, as 471063616 + 1843156624 = 21704^2 + 42932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314220243) 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 3 ways as a sum of consecutive naturals, for example, 14463797 + ... + 14463956.

Almost surely, 22314220240 is an apocalyptic number.

2314220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314220240 is an abundant number, since it is smaller than the sum of its proper divisors (3066342004).

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

2314220240 is a wasteful number, since it uses less digits than its factorization.

2314220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28927766 (or 28927760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2314220240 is about 48106.3430329099. The cubic root of 2314220240 is about 1322.7209408326.

Adding to 2314220240 its reverse (420224132), we get a palindrome (2734444372).

The spelling of 2314220240 in words is "two billion, three hundred fourteen million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28927753 57855506 115711012 144638765 231422024 289277530 462844048 578555060 1157110120 2314220240