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23305030400 = 285214924439
BaseRepresentation
bin10101101101000101…
…101000101100000000
32020011011112012122002
4111231011220230000
5340212041433100
614412311403132
71453343330021
oct255505505400
966134465562
1023305030400
11997a09a303
1246249834a8
13227532b822
1411b1210c48
15915eb42d5
hex56d168b00

23305030400 has 108 divisors (see below), whose sum is σ = 58073106000. Its totient is φ = 9259069440.

The previous prime is 23305030387. The next prime is 23305030403. The reversal of 23305030400 is 403050332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23305030403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 941381 + ... + 965819.

Almost surely, 223305030400 is an apocalyptic number.

23305030400 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 23305030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29036553000).

23305030400 is an abundant number, since it is smaller than the sum of its proper divisors (34768075600).

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

23305030400 is a wasteful number, since it uses less digits than its factorization.

23305030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24614 (or 24595 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 23305030400 its reverse (403050332), we get a palindrome (23708080732).

The spelling of 23305030400 in words is "twenty-three billion, three hundred five million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 149 160 200 256 298 320 400 596 640 745 800 1192 1280 1490 1600 2384 2980 3200 3725 4768 5960 6400 7450 9536 11920 14900 19072 23840 24439 29800 38144 47680 48878 59600 95360 97756 119200 122195 190720 195512 238400 244390 391024 476800 488780 610975 782048 953600 977560 1221950 1564096 1955120 2443900 3128192 3641411 3910240 4887800 6256384 7282822 7820480 9775600 14565644 15640960 18207055 19551200 29131288 31281920 36414110 39102400 58262576 72828220 78204800 91035275 116525152 145656440 156409600 182070550 233050304 291312880 364141100 466100608 582625760 728282200 932201216 1165251520 1456564400 2330503040 2913128800 4661006080 5826257600 11652515200 23305030400