Search a number
-
+
115200214300 = 225210915496823
BaseRepresentation
bin110101101001001110…
…1111100010100011100
3102000100111112020022201
41223102131330110130
53341412223324200
6124531112221244
711215524444043
oct1532235742434
9360314466281
10115200214300
1144946577086
121a3b039a824
13ab2b9894a2
14580bac155a
152ee38ebc6a
hex1ad277c51c

115200214300 has 72 divisors (see below), whose sum is σ = 252477764000. Its totient is φ = 45621169920.

The previous prime is 115200214279. The next prime is 115200214301. The reversal of 115200214300 is 3412002511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115200214301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16880689 + ... + 16887511.

Almost surely, 2115200214300 is an apocalyptic number.

115200214300 is a gapful number since it is divisible by the number (10) 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 115200214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126238882000).

115200214300 is an abundant number, since it is smaller than the sum of its proper divisors (137277549700).

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

115200214300 is a wasteful number, since it uses less digits than its factorization.

115200214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 115200214300 its reverse (3412002511), we get a palindrome (118612216811).

The spelling of 115200214300 in words is "one hundred fifteen billion, two hundred million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 1549 2180 2725 3098 5450 6196 6823 7745 10900 13646 15490 27292 30980 34115 38725 68230 77450 136460 154900 168841 170575 337682 341150 675364 682300 743707 844205 1487414 1688410 2974828 3376820 3718535 4221025 7437070 8442050 10568827 14874140 16884100 18592675 21137654 37185350 42275308 52844135 74370700 105688270 211376540 264220675 528441350 1056882700 1152002143 2304004286 4608008572 5760010715 11520021430 23040042860 28800053575 57600107150 115200214300