Search a number
-
+
2131583200 = 25522664479
BaseRepresentation
bin111111100001101…
…0110000011100000
312111112221122102221
41333003112003200
513331141130300
6551303120424
7103552105165
oct17703260340
95445848387
102131583200
119a425000a
124b5a43114
1327c7c8646
1416314c06c
15c720531a
hex7f0d60e0

2131583200 has 36 divisors (see below), whose sum is σ = 5203729440. Its totient is φ = 852632960.

The previous prime is 2131583189. The next prime is 2131583231. The reversal of 2131583200 is 23851312.

2131583200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1331440 + ... + 1333039.

It is an arithmetic number, because the mean of its divisors is an integer number (144548040).

Almost surely, 22131583200 is an apocalyptic number.

2131583200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131583200 is an abundant number, since it is smaller than the sum of its proper divisors (3072146240).

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

2131583200 is a wasteful number, since it uses less digits than its factorization.

2131583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664499 (or 2664486 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2131583200 is about 46169.0718988372. The cubic root of 2131583200 is about 1286.9670550080.

The spelling of 2131583200 in words is "two billion, one hundred thirty-one million, five hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2664479 5328958 10657916 13322395 21315832 26644790 42631664 53289580 66611975 85263328 106579160 133223950 213158320 266447900 426316640 532895800 1065791600 2131583200