Search a number
-
+
231881250 = 235583149
BaseRepresentation
bin11011101001000…
…11101000100010
3121011022210021110
431310203220202
5433330200000
635002004150
75513646426
oct1564435042
9534283243
10231881250
111099888a7
12657a6656
133906a653
1422b20b86
1515555850
hexdd23a22

231881250 has 96 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 60680000.

The previous prime is 231881249. The next prime is 231881261. The reversal of 231881250 is 52188132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1556176 + ... + 1556324.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2231881250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231881250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

231881250 is an abundant number, since it is smaller than the sum of its proper divisors (358705950).

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

231881250 is an equidigital number, since it uses as much as digits as its factorization.

231881250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 231881250 is about 15227.6475530530. The cubic root of 231881250 is about 614.3585088474.

The spelling of 231881250 in words is "two hundred thirty-one million, eight hundred eighty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 125 149 150 166 249 250 298 375 415 447 498 625 745 750 830 894 1245 1250 1490 1875 2075 2235 2490 3125 3725 3750 4150 4470 6225 6250 7450 9375 10375 11175 12367 12450 18625 18750 20750 22350 24734 31125 37101 37250 51875 55875 61835 62250 74202 93125 103750 111750 123670 155625 185505 186250 259375 279375 309175 311250 371010 465625 518750 558750 618350 778125 927525 931250 1396875 1545875 1556250 1855050 2793750 3091750 4637625 7729375 9275250 15458750 23188125 38646875 46376250 77293750 115940625 231881250