Search a number
-
+
2145501200 = 245229184957
BaseRepresentation
bin111111111100001…
…1100000000010000
312112112010202100102
41333320130000100
513343222014300
6552521311532
7104111313353
oct17770340020
95475122312
102145501200
11a01096897
124ba6355a8
1328265c64b
14164d3229a
15c85540d5
hex7fe1c010

2145501200 has 60 divisors (see below), whose sum is σ = 5332339140. Its totient is φ = 828602880.

The previous prime is 2145501181. The next prime is 2145501233. The reversal of 2145501200 is 21055412.

It can be written as a sum of positive squares in 6 ways, for example, as 33547264 + 2111953936 = 5792^2 + 45956^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 80879 + ... + 104078.

It is an arithmetic number, because the mean of its divisors is an integer number (88872319).

Almost surely, 22145501200 is an apocalyptic number.

2145501200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145501200 is an abundant number, since it is smaller than the sum of its proper divisors (3186837940).

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

2145501200 is a wasteful number, since it uses less digits than its factorization.

2145501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185004 (or 184993 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2145501200 is about 46319.5552655679. Note that the first 3 decimals coincide. The cubic root of 2145501200 is about 1289.7620296969.

Adding to 2145501200 its reverse (21055412), we get a palindrome (2166556612).

The spelling of 2145501200 in words is "two billion, one hundred forty-five million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 184957 369914 739828 924785 1479656 1849570 2959312 3699140 4623925 5363753 7398280 9247850 10727506 14796560 18495700 21455012 26818765 36991400 42910024 53637530 73982800 85820048 107275060 134093825 214550120 268187650 429100240 536375300 1072750600 2145501200