Search a number
-
+
23440420200 = 2335250397753
BaseRepresentation
bin10101110101001010…
…000110110101101000
32020111121021201112010
4111311022012311220
5341001221421300
614433545315520
71456606166331
oct256512066550
966447251463
1023440420200
119a395626aa
124662195ba0
1322973b3632
1411c51b5288
15922d09a50
hex575286d68

23440420200 has 96 divisors (see below), whose sum is σ = 72689097600. Its totient is φ = 6248732160.

The previous prime is 23440420177. The next prime is 23440420207. The reversal of 23440420200 is 202404432.

It is not an unprimeable number, because it can be changed into a prime (23440420207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3019524 + ... + 3027276.

It is an arithmetic number, because the mean of its divisors is an integer number (757178100).

Almost surely, 223440420200 is an apocalyptic number.

23440420200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23440420200 is an abundant number, since it is smaller than the sum of its proper divisors (49248677400).

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

23440420200 is a wasteful number, since it uses less digits than its factorization.

23440420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12811 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 23440420200 its reverse (202404432), we get a palindrome (23642824632).

The spelling of 23440420200 in words is "twenty-three billion, four hundred forty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5039 7753 10078 15117 15506 20156 23259 25195 30234 31012 38765 40312 46518 50390 60468 62024 75585 77530 93036 100780 116295 120936 125975 151170 155060 186072 193825 201560 232590 251950 302340 310120 377925 387650 465180 503900 581475 604680 755850 775300 930360 1007800 1162950 1511700 1550600 2325900 3023400 4651800 39067367 78134734 117202101 156269468 195336835 234404202 312538936 390673670 468808404 586010505 781347340 937616808 976684175 1172021010 1562694680 1953368350 2344042020 2930052525 3906736700 4688084040 5860105050 7813473400 11720210100 23440420200