Search a number
-
+
4299230208 = 210372134
BaseRepresentation
bin1000000000100000…
…10000110000000000
3102002121202112010110
410000100100300000
532301100331313
61550335231320
7211352565600
oct40020206000
912077675113
104299230208
111906892319
129bb978540
13536910000
142cada6c00
151a2680ec3
hex100410c00

4299230208 has 330 divisors, whose sum is σ = 14440659756. Its totient is φ = 1133862912.

The previous prime is 4299230183. The next prime is 4299230213. The reversal of 4299230208 is 8020329924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 330710010 + ... + 330710022.

Almost surely, 24299230208 is an apocalyptic number.

4299230208 is a gapful number since it is divisible by the number (48) 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 4299230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220329878).

4299230208 is an abundant number, since it is smaller than the sum of its proper divisors (10141429548).

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

4299230208 is an frugal number, since it uses more digits than its factorization.

4299230208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4299230208 is about 65568.5153713274. The cubic root of 4299230208 is about 1626.0362883353.

Multiplying 4299230208 by its product of nonzero digits (62208), we get a square (267446512779264 = 163537922).

The spelling of 4299230208 in words is "four billion, two hundred ninety-nine million, two hundred thirty thousand, two hundred eight".