Search a number
-
+
20230213200 = 2435238344017
BaseRepresentation
bin10010110101110100…
…001000111001010000
31221012212201022101120
4102311310020321100
5312412413310300
613143231402240
71314215655261
oct226564107120
957185638346
1020230213200
11864147866a
123b07083380
131ba52acc72
14d9cad0968
157d60923a0
hex4b5d08e50

20230213200 has 120 divisors (see below), whose sum is σ = 64974793728. Its totient is φ = 5380515840.

The previous prime is 20230213193. The next prime is 20230213217. The reversal of 20230213200 is 231203202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×202302132002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20230213200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437592 + ... + 481608.

Almost surely, 220230213200 is an apocalyptic number.

20230213200 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 20230213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32487396864).

20230213200 is an abundant number, since it is smaller than the sum of its proper divisors (44744580528).

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

20230213200 is a wasteful number, since it uses less digits than its factorization.

20230213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44421 (or 44410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20230213200 its reverse (231203202), we get a palindrome (20461416402).

The spelling of 20230213200 in words is "twenty billion, two hundred thirty million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 383 400 600 766 1149 1200 1532 1915 2298 3064 3830 4596 5745 6128 7660 9192 9575 11490 15320 18384 19150 22980 28725 30640 38300 44017 45960 57450 76600 88034 91920 114900 132051 153200 176068 220085 229800 264102 352136 440170 459600 528204 660255 704272 880340 1056408 1100425 1320510 1760680 2112816 2200850 2641020 3301275 3521360 4401700 5282040 6602550 8803400 10564080 13205100 16858511 17606800 26410200 33717022 50575533 52820400 67434044 84292555 101151066 134868088 168585110 202302132 252877665 269736176 337170220 404604264 421462775 505755330 674340440 809208528 842925550 1011510660 1264388325 1348680880 1685851100 2023021320 2528776650 3371702200 4046042640 5057553300 6743404400 10115106600 20230213200