Search a number
-
+
230221312100 = 225213177093317
BaseRepresentation
bin1101011001101001000…
…0100111000001100100
3211000020112000101222222
43112122100213001210
512232443123441400
6253432345411512
722430045602433
oct3263220470144
9730215011888
10230221312100
11896aaa2429a
1238750799b98
131892c4c0c80
14b1dda9911a
155ec6717185
hex359a427064

230221312100 has 36 divisors (see below), whose sum is σ = 538009500084. Its totient is φ = 85004791680.

The previous prime is 230221312093. The next prime is 230221312103. The reversal of 230221312100 is 1213122032.

It can be written as a sum of positive squares in 6 ways, for example, as 364351744 + 229856960356 = 19088^2 + 479434^2 .

It is not an unprimeable number, because it can be changed into a prime (230221312103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88545359 + ... + 88547958.

Almost surely, 2230221312100 is an apocalyptic number.

230221312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230221312100 is an abundant number, since it is smaller than the sum of its proper divisors (307788187984).

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

230221312100 is a wasteful number, since it uses less digits than its factorization.

230221312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177093344 (or 177093337 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 230221312100 its reverse (1213122032), we get a palindrome (231434434132).

The spelling of 230221312100 in words is "two hundred thirty billion, two hundred twenty-one million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 177093317 354186634 708373268 885466585 1770933170 2302213121 3541866340 4427332925 4604426242 8854665850 9208852484 11511065605 17709331700 23022131210 46044262420 57555328025 115110656050 230221312100