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2300223224 = 23131732739
BaseRepresentation
bin1000100100011010…
…1001111011111000
312221022021110001202
42021012221323320
514202324120344
61020125433332
7111000401105
oct21106517370
95838243052
102300223224
11a80463832
1254240b848
132a8722940
1417b6c9aac
15d6e1794e
hex891a9ef8

2300223224 has 48 divisors (see below), whose sum is σ = 4678006200. Its totient is φ = 1054076544.

The previous prime is 2300223223. The next prime is 2300223227. The reversal of 2300223224 is 4223220032.

2300223224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2300223196 and 2300223205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300223221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3112247 + ... + 3112985.

Almost surely, 22300223224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339003100).

2300223224 is an abundant number, since it is smaller than the sum of its proper divisors (2377782976).

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

2300223224 is a wasteful number, since it uses less digits than its factorization.

2300223224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2300223224 is about 47960.6424477404. The cubic root of 2300223224 is about 1320.0488243342.

Adding to 2300223224 its reverse (4223220032), we get a palindrome (6523443256).

The spelling of 2300223224 in words is "two billion, three hundred million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 173 346 692 739 1384 1478 2249 2956 4498 5912 8996 9607 17992 19214 29929 38428 59858 76856 119716 127847 239432 255694 389077 511388 778154 1022776 1556308 1662011 3112616 3324022 6648044 13296088 22117531 44235062 88470124 176940248 287527903 575055806 1150111612 2300223224