Search a number
-
+
2298365280 = 253451091627
BaseRepresentation
bin1000100011111110…
…0100010101100000
312221011210001110000
42020333210111200
514201340142110
61020021540000
7110645532261
oct21077442540
95834701400
102298365280
11a7a404942
12541874600
132a8222073
1417b364968
15d6b9c1c0
hex88fe4560

2298365280 has 240 divisors, whose sum is σ = 8190761040. Its totient is φ = 606901248.

The previous prime is 2298365261. The next prime is 2298365309. The reversal of 2298365280 is 825638922.

It is a happy number.

2298365280 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 365 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1411827 + ... + 1413453.

It is an arithmetic number, because the mean of its divisors is an integer number (34128171).

Almost surely, 22298365280 is an apocalyptic number.

2298365280 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 2298365280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095380520).

2298365280 is an abundant number, since it is smaller than the sum of its proper divisors (5892395760).

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

2298365280 is a wasteful number, since it uses less digits than its factorization.

2298365280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2298365280 is about 47941.2690695605. The cubic root of 2298365280 is about 1319.6933171820.

The spelling of 2298365280 in words is "two billion, two hundred ninety-eight million, three hundred sixty-five thousand, two hundred eighty".