Search a number
-
+
23343002240 = 275269135589
BaseRepresentation
bin10101101111010110…
…011111001010000000
32020020210222101012112
4111233112133022000
5340301302032430
614420145314452
71454314150055
oct255726371200
966223871175
1023343002240
119999575098
124635635a28
13228016517c
1411b629702c
159194b5195
hex56f59f280

23343002240 has 64 divisors (see below), whose sum is σ = 56012229000. Its totient is φ = 9302421504.

The previous prime is 23343002213. The next prime is 23343002257. The reversal of 23343002240 is 4220034332.

It can be written as a sum of positive squares in 4 ways, for example, as 19539566656 + 3803435584 = 139784^2 + 61672^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104366 + ... + 239954.

Almost surely, 223343002240 is an apocalyptic number.

23343002240 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 23343002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28006114500).

23343002240 is an abundant number, since it is smaller than the sum of its proper divisors (32669226760).

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

23343002240 is a wasteful number, since it uses less digits than its factorization.

23343002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135877 (or 135865 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 23343002240 its reverse (4220034332), we get a palindrome (27563036572).

The spelling of 23343002240 in words is "twenty-three billion, three hundred forty-three million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 269 320 538 640 1076 1345 2152 2690 4304 5380 8608 10760 17216 21520 34432 43040 86080 135589 172160 271178 542356 677945 1084712 1355890 2169424 2711780 4338848 5423560 8677696 10847120 17355392 21694240 36473441 43388480 72946882 86776960 145893764 182367205 291787528 364734410 583575056 729468820 1167150112 1458937640 2334300224 2917875280 4668600448 5835750560 11671501120 23343002240