Search a number
-
+
2294250480 = 243953147
BaseRepresentation
bin1000100010111111…
…0111101111110000
312220220001000000000
42020233313233300
514144312003410
61015353430000
7110565543624
oct21057675760
95826030000
102294250480
11a78054385
1254040b300
132a7411182
1417a9b3184
15d6637dc0
hex88bf7bf0

2294250480 has 400 divisors, whose sum is σ = 8434888704. Its totient is φ = 579467520.

The previous prime is 2294250479. The next prime is 2294250533. The reversal of 2294250480 is 840524922.

2294250480 is a `hidden beast` number, since 229 + 425 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48813817 + ... + 48813863.

Almost surely, 22294250480 is an apocalyptic number.

2294250480 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 2294250480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217444352).

2294250480 is an abundant number, since it is smaller than the sum of its proper divisors (6140638224).

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

2294250480 is an frugal number, since it uses more digits than its factorization.

2294250480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2294250480 is about 47898.3348353573. The cubic root of 2294250480 is about 1318.9052907281.

The spelling of 2294250480 in words is "two billion, two hundred ninety-four million, two hundred fifty thousand, four hundred eighty".