Search a number
-
+
2314081224 = 2335713103127
BaseRepresentation
bin1000100111101110…
…0001001111001000
312222021100111200000
42021323201033020
514214401044344
61021342443000
7111226236330
oct21173411710
95867314600
102314081224
11a88269524
12546b93460
132ab565540
1417d4960c0
15d8253a69
hex89ee13c8

2314081224 has 384 divisors, whose sum is σ = 8140554240. Its totient is φ = 599622912.

The previous prime is 2314081223. The next prime is 2314081241. The reversal of 2314081224 is 4221804132.

2314081224 is a `hidden beast` number, since 2 + 31 + 408 + 1 + 224 = 666.

It is a super-2 number, since 2×23140812242 = 10709943822538676352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2314081223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18221049 + ... + 18221175.

It is an arithmetic number, because the mean of its divisors is an integer number (21199360).

Almost surely, 22314081224 is an apocalyptic number.

2314081224 is a gapful number since it is divisible by the number (24) 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 2314081224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070277120).

2314081224 is an abundant number, since it is smaller than the sum of its proper divisors (5826473016).

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

2314081224 is a wasteful number, since it uses less digits than its factorization.

2314081224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2314081224 is about 48104.8981289847. The cubic root of 2314081224 is about 1322.6944548694.

Adding to 2314081224 its reverse (4221804132), we get a palindrome (6535885356).

The spelling of 2314081224 in words is "two billion, three hundred fourteen million, eighty-one thousand, two hundred twenty-four".