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231134200 = 23521129551
BaseRepresentation
bin11011100011011…
…01001111111000
3121002220211111221
431301231033320
5433132243300
634534001424
75504415433
oct1561551770
9532824457
10231134200
11109518600
12654a6274
1338b685cb
14229a881a
151545931a
hexdc6d3f8

231134200 has 72 divisors (see below), whose sum is σ = 590743440. Its totient is φ = 84040000.

The previous prime is 231134161. The next prime is 231134243. The reversal of 231134200 is 2431132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19425 + ... + 28975.

It is an arithmetic number, because the mean of its divisors is an integer number (8204770).

Almost surely, 2231134200 is an apocalyptic number.

231134200 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 231134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295371720).

231134200 is an abundant number, since it is smaller than the sum of its proper divisors (359609240).

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

231134200 is a wasteful number, since it uses less digits than its factorization.

231134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9589 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231134200 is about 15203.0983684248. The cubic root of 231134200 is about 613.6980410716.

Adding to 231134200 its reverse (2431132), we get a palindrome (233565332).

It can be divided in two parts, 231 and 134200, that added together give a palindrome (134431).

The spelling of 231134200 in words is "two hundred thirty-one million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 9551 12100 19102 24200 38204 47755 76408 95510 105061 191020 210122 238775 382040 420244 477550 525305 840488 955100 1050610 1155671 1910200 2101220 2311342 2626525 4202440 4622684 5253050 5778355 9245368 10506100 11556710 21012200 23113420 28891775 46226840 57783550 115567100 231134200