Search a number
-
+
23202201200 = 2452293197971
BaseRepresentation
bin10101100110111101…
…010111111001110000
32012220000000221111012
4111212331113321300
5340004230414300
614354155410052
71450654312313
oct254675277160
965800027435
1023202201200
1199270461a2
1245b6453928
132259c37349
1411a16c497a
1590be51435
hex566f57e70

23202201200 has 60 divisors (see below), whose sum is σ = 55933821048. Its totient is φ = 9249158400.

The previous prime is 23202201157. The next prime is 23202201223. The reversal of 23202201200 is 210220232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18215 + ... + 216185.

Almost surely, 223202201200 is an apocalyptic number.

23202201200 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 23202201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27966910524).

23202201200 is an abundant number, since it is smaller than the sum of its proper divisors (32731619848).

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

23202201200 is a wasteful number, since it uses less digits than its factorization.

23202201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198282 (or 198271 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 23202201200 its reverse (210220232), we get a palindrome (23412421432).

The spelling of 23202201200 in words is "twenty-three billion, two hundred two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 293 400 586 1172 1465 2344 2930 4688 5860 7325 11720 14650 23440 29300 58600 117200 197971 395942 791884 989855 1583768 1979710 3167536 3959420 4949275 7918840 9898550 15837680 19797100 39594200 58005503 79188400 116011006 232022012 290027515 464044024 580055030 928088048 1160110060 1450137575 2320220120 2900275150 4640440240 5800550300 11601100600 23202201200