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231041300 = 225272391381
BaseRepresentation
bin11011100010101…
…10100100010100
3121002202010002012
431301112210110
5433121310200
634532003352
75503550540
oct1561264424
9532663065
10231041300
11109464826
1265460558
1338b35239
1422982a20
151543ba35
hexdc56914

231041300 has 72 divisors (see below), whose sum is σ = 575796480. Its totient is φ = 78825600.

The previous prime is 231041287. The next prime is 231041309. The reversal of 231041300 is 3140132.

231041300 = 30282 + 30292 + ... + 30522.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231041309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166610 + ... + 167990.

Almost surely, 2231041300 is an apocalyptic number.

231041300 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 231041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287898240).

231041300 is an abundant number, since it is smaller than the sum of its proper divisors (344755180).

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

231041300 is a wasteful number, since it uses less digits than its factorization.

231041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 231041300 is about 15200.0427630977. The cubic root of 231041300 is about 613.6158086310.

Adding to 231041300 its reverse (3140132), we get a palindrome (234181432).

The spelling of 231041300 in words is "two hundred thirty-one million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 239 350 478 700 956 1195 1381 1673 2390 2762 3346 4780 5524 5975 6692 6905 8365 9667 11950 13810 16730 19334 23900 27620 33460 34525 38668 41825 48335 69050 83650 96670 138100 167300 193340 241675 330059 483350 660118 966700 1320236 1650295 2310413 3300590 4620826 6601180 8251475 9241652 11552065 16502950 23104130 33005900 46208260 57760325 115520650 231041300