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231920 = 24513223
BaseRepresentation
bin111000100111110000
3102210010122
4320213300
524410140
64545412
71654103
oct704760
9383118
10231920
11149277
12b2268
1381740
146073a
1548ab5
hex389f0

231920 has 40 divisors (see below), whose sum is σ = 583296. Its totient is φ = 85248.

The previous prime is 231919. The next prime is 231923. The reversal of 231920 is 29132.

231920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929 + ... + 1151.

2231920 is an apocalyptic number.

231920 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 231920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648).

231920 is an abundant number, since it is smaller than the sum of its proper divisors (351376).

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

231920 is a wasteful number, since it uses less digits than its factorization.

231920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 231920 is about 481.5807305115. The cubic root of 231920 is about 61.4392729044.

The spelling of 231920 in words is "two hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 223 260 446 520 892 1040 1115 1784 2230 2899 3568 4460 5798 8920 11596 14495 17840 23192 28990 46384 57980 115960 231920