Search a number
-
+
23035042000 = 245316996779
BaseRepresentation
bin10101011100111111…
…101101100011010000
32012110100111101011201
4111130333231203100
5334133432321000
614325424520544
71443554424565
oct253477554320
965410441151
1023035042000
119850753aa3
12456a480154
13223140b089
14118741086c
158ec43296a
hex55cfed8d0

23035042000 has 80 divisors (see below), whose sum is σ = 55739736000. Its totient is φ = 9207235200.

The previous prime is 23035041943. The next prime is 23035042021. The reversal of 23035042000 is 24053032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×230350420002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3394611 + ... + 3401389.

It is an arithmetic number, because the mean of its divisors is an integer number (696746700).

Almost surely, 223035042000 is an apocalyptic number.

23035042000 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 23035042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869868000).

23035042000 is an abundant number, since it is smaller than the sum of its proper divisors (32704694000).

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

23035042000 is a wasteful number, since it uses less digits than its factorization.

23035042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

Adding to 23035042000 its reverse (24053032), we get a palindrome (23059095032).

The spelling of 23035042000 in words is "twenty-three billion, thirty-five million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1699 2000 3398 6779 6796 8495 13558 13592 16990 27116 27184 33895 33980 42475 54232 67790 67960 84950 108464 135580 135920 169475 169900 212375 271160 338950 339800 424750 542320 677900 679600 847375 849500 1355800 1694750 1699000 2711600 3389500 3398000 6779000 11517521 13558000 23035042 46070084 57587605 92140168 115175210 184280336 230350420 287938025 460700840 575876050 921401680 1151752100 1439690125 2303504200 2879380250 4607008400 5758760500 11517521000 23035042000