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2314220540 = 2251719335267
BaseRepresentation
bin1000100111110000…
…0011001111111100
312222021121120202212
42021330003033330
514214420024130
61021345435552
7111230356442
oct21174031774
95867546685
102314220540
11a88354165
1254703bbb8
132ab5b3a88
1417d4d0b92
15d827ee95
hex89f033fc

2314220540 has 48 divisors (see below), whose sum is σ = 5172545952. Its totient is φ = 866697216.

The previous prime is 2314220533. The next prime is 2314220563. The reversal of 2314220540 is 450224132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47987 + ... + 83253.

It is an arithmetic number, because the mean of its divisors is an integer number (107761374).

Almost surely, 22314220540 is an apocalyptic number.

2314220540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314220540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586272976).

2314220540 is an abundant number, since it is smaller than the sum of its proper divisors (2858325412).

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

2314220540 is a wasteful number, since it uses less digits than its factorization.

2314220540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35486 (or 35484 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2314220540 is about 48106.3461510017. The cubic root of 2314220540 is about 1322.7209979888.

Adding to 2314220540 its reverse (450224132), we get a palindrome (2764444672).

The spelling of 2314220540 in words is "two billion, three hundred fourteen million, two hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 772 965 1930 3281 3860 6562 13124 16405 32810 35267 65620 70534 141068 176335 352670 599539 705340 1199078 2398156 2997695 5995390 6806531 11990780 13613062 27226124 34032655 68065310 115711027 136130620 231422054 462844108 578555135 1157110270 2314220540