Search a number
-
+
232253114400200 = 23526010119321901
BaseRepresentation
bin110100110011101110100100…
…011000011011110111001000
31010110100011212212120110001102
4310303232210120123313020
5220420213334241301300
62141543335141440532
766630506454303605
oct6463564430336710
91113304785513042
10232253114400200
1168003aa12863a3
1222070262110148
139c794b431ba1a
14414d179b376ac
151bcb6832a00d5
hexd33ba461bdc8

232253114400200 has 48 divisors (see below), whose sum is σ = 539997503611860. Its totient is φ = 92899695200000.

The previous prime is 232253114400199. The next prime is 232253114400217. The reversal of 232253114400200 is 2004411352232.

It can be written as a sum of positive squares in 6 ways, for example, as 28112285618404 + 204140828781796 = 5302102^2 + 14287786^2 .

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, 2359250 + ... + 21681150.

Almost surely, 2232253114400200 is an apocalyptic number.

232253114400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232253114400200 is an abundant number, since it is smaller than the sum of its proper divisors (307744389211660).

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

232253114400200 is a wasteful number, since it uses less digits than its factorization.

232253114400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19382018 (or 19382009 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 232253114400200 its reverse (2004411352232), we get a palindrome (234257525752432).

The spelling of 232253114400200 in words is "two hundred thirty-two trillion, two hundred fifty-three billion, one hundred fourteen million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60101 120202 240404 300505 480808 601010 1202020 1502525 2404040 3005050 6010100 12020200 19321901 38643802 77287604 96609505 154575208 193219010 386438020 483047525 772876040 966095050 1932190100 3864380200 1161265572001 2322531144002 4645062288004 5806327860005 9290124576008 11612655720010 23225311440020 29031639300025 46450622880040 58063278600050 116126557200100 232253114400200