Search a number
-
+
231206120 = 235172314783
BaseRepresentation
bin11011100011111…
…10110011101000
3121010001111011122
431301332303220
5433142043440
634535314412
75505135215
oct1561766350
9533044148
10231206120
11109567642
126551ba08
1338b92272
14229c6b0c
15154707b5
hexdc7ece8

231206120 has 64 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 83252224.

The previous prime is 231206119. The next prime is 231206123. The reversal of 231206120 is 21602132.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (231206123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8249 + ... + 23031.

It is an arithmetic number, because the mean of its divisors is an integer number (8981280).

Almost surely, 2231206120 is an apocalyptic number.

231206120 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 231206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

231206120 is an abundant number, since it is smaller than the sum of its proper divisors (343595800).

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

231206120 is a wasteful number, since it uses less digits than its factorization.

231206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14834 (or 14830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 231206120 is about 15205.4634917848. The cubic root of 231206120 is about 613.7616874813.

Adding to 231206120 its reverse (21602132), we get a palindrome (252808252).

The spelling of 231206120 in words is "two hundred thirty-one million, two hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 3128 3910 7820 14783 15640 29566 59132 73915 118264 147830 251311 295660 340009 502622 591320 680018 1005244 1256555 1360036 1700045 2010488 2513110 2720072 3400090 5026220 5780153 6800180 10052440 11560306 13600360 23120612 28900765 46241224 57801530 115603060 231206120