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2333505040 = 24529168813
BaseRepresentation
bin1000101100010110…
…0111011000010000
320000121220100010121
42023011213120100
514234334130130
61023315040024
7111553315456
oct21305473020
96017810117
102333505040
11a98225969
125515a0014
132b25a6619
14181cb09d6
15d9cddd7a
hex8b167610

2333505040 has 20 divisors (see below), whose sum is σ = 5425399404. Its totient is φ = 933401984.

The previous prime is 2333505029. The next prime is 2333505061. The reversal of 2333505040 is 405053332.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1628283904 + 705221136 = 40352^2 + 26556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2333504996 and 2333505014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14584327 + ... + 14584486.

Almost surely, 22333505040 is an apocalyptic number.

2333505040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2333505040 is an abundant number, since it is smaller than the sum of its proper divisors (3091894364).

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

2333505040 is a wasteful number, since it uses less digits than its factorization.

2333505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29168826 (or 29168820 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 2333505040 is about 48306.3664541228. The cubic root of 2333505040 is about 1326.3849366269.

Adding to 2333505040 its reverse (405053332), we get a palindrome (2738558372).

The spelling of 2333505040 in words is "two billion, three hundred thirty-three million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 29168813 58337626 116675252 145844065 233350504 291688130 466701008 583376260 1166752520 2333505040