Search a number
-
+
2335897920 = 263517413491
BaseRepresentation
bin1000101100111010…
…1111100101000000
320000210101220112210
42023032233211000
514240442213140
61023442222120
7111612543006
oct21316574500
96023356483
102335897920
11a9960a754
12552354940
132b2c33825
14182334a76
15da112d80
hex8b3af940

2335897920 has 224 divisors, whose sum is σ = 8046573696. Its totient is φ = 571801600.

The previous prime is 2335897909. The next prime is 2335897933. The reversal of 2335897920 is 297985332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2335897920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667375 + ... + 670865.

It is an arithmetic number, because the mean of its divisors is an integer number (35922204).

Almost surely, 22335897920 is an apocalyptic number.

2335897920 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 2335897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023286848).

2335897920 is an abundant number, since it is smaller than the sum of its proper divisors (5710675776).

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

2335897920 is a wasteful number, since it uses less digits than its factorization.

2335897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 2335897920 is about 48331.1278577275. The cubic root of 2335897920 is about 1326.8381598071.

It can be divided in two parts, 23358 and 97920, that added together give a triangular number (121278 = T492).

The spelling of 2335897920 in words is "two billion, three hundred thirty-five million, eight hundred ninety-seven thousand, nine hundred twenty".