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2300042420 = 225138846317
BaseRepresentation
bin1000100100010111…
…1101110010110100
312221021221021001022
42021011331302310
514202302324140
61020121520312
7110666016014
oct21105756264
95837837038
102300042420
11a8034aa05
12542343098
132a868b560
1417b67dc44
15d6dce0b5
hex8917dcb4

2300042420 has 24 divisors (see below), whose sum is σ = 5201634984. Its totient is φ = 849246336.

The previous prime is 2300042413. The next prime is 2300042467. The reversal of 2300042420 is 242400032.

2300042420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 131836324 + 2168206096 = 11482^2 + 46564^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4422899 + ... + 4423418.

It is an arithmetic number, because the mean of its divisors is an integer number (216734791).

Almost surely, 22300042420 is an apocalyptic number.

2300042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300042420 is an abundant number, since it is smaller than the sum of its proper divisors (2901592564).

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

2300042420 is a wasteful number, since it uses less digits than its factorization.

2300042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846339 (or 8846337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2300042420 is about 47958.7574901602. The cubic root of 2300042420 is about 1320.0142369141.

Adding to 2300042420 its reverse (242400032), we get a palindrome (2542442452).

The spelling of 2300042420 in words is "two billion, three hundred million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8846317 17692634 35385268 44231585 88463170 115002121 176926340 230004242 460008484 575010605 1150021210 2300042420