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2135231200 = 255210325913
BaseRepresentation
bin111111101000101…
…0000101011100000
312111210210222120001
41333101100223200
513333104344300
6551513225344
7103625110564
oct17721205340
95453728501
102135231200
119a6311893
124b7102254
132804a4c1b
1416381b6a4
15c76c616a
hex7f450ae0

2135231200 has 72 divisors (see below), whose sum is σ = 5263444368. Its totient is φ = 845767680.

The previous prime is 2135231179. The next prime is 2135231207. The reversal of 2135231200 is 21325312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135231207) 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, 69444 + ... + 95356.

It is an arithmetic number, because the mean of its divisors is an integer number (73103394).

Almost surely, 22135231200 is an apocalyptic number.

2135231200 is a gapful number since it is divisible by the number (20) 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 2135231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631722184).

2135231200 is an abundant number, since it is smaller than the sum of its proper divisors (3128213168).

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

2135231200 is a wasteful number, since it uses less digits than its factorization.

2135231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26036 (or 26023 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2135231200 is about 46208.5619771921. The cubic root of 2135231200 is about 1287.7008101022.

Adding to 2135231200 its reverse (21325312), we get a palindrome (2156556512).

The spelling of 2135231200 in words is "two billion, one hundred thirty-five million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 160 200 206 400 412 515 800 824 1030 1648 2060 2575 3296 4120 5150 8240 10300 16480 20600 25913 41200 51826 82400 103652 129565 207304 259130 414608 518260 647825 829216 1036520 1295650 2073040 2591300 2669039 4146080 5182600 5338078 10365200 10676156 13345195 20730400 21352312 26690390 42704624 53380780 66725975 85409248 106761560 133451950 213523120 266903900 427046240 533807800 1067615600 2135231200