Search a number
-
+
231990 = 235111937
BaseRepresentation
bin111000101000110110
3102210020020
4320220312
524410430
64550010
71654233
oct705066
9383206
10231990
11149330
12b2306
1381795
146078a
1548b10
hex38a36

231990 has 64 divisors (see below), whose sum is σ = 656640. Its totient is φ = 51840.

The previous prime is 231967. The next prime is 232003. The reversal of 231990 is 99132.

It is a happy number.

231990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231990.

It is a congruent number.

It is an unprimeable number.

231990 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6252 + ... + 6288.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2231990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

231990 is an abundant number, since it is smaller than the sum of its proper divisors (424650).

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

231990 is a wasteful number, since it uses less digits than its factorization.

231990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 231990 is about 481.6534023548. The cubic root of 231990 is about 61.4454536514.

It can be divided in two parts, 231 and 990, that added together give a palindrome (1221).

The spelling of 231990 in words is "two hundred thirty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 37 38 55 57 66 74 95 110 111 114 165 185 190 209 222 285 330 370 407 418 555 570 627 703 814 1045 1110 1221 1254 1406 2035 2090 2109 2442 3135 3515 4070 4218 6105 6270 7030 7733 10545 12210 15466 21090 23199 38665 46398 77330 115995 231990