Search a number
-
+
231444720 = 243251379313
BaseRepresentation
bin11011100101110…
…01000011110000
3121010111121110200
431302321003300
5433222212340
634544355200
75510150643
oct1562710360
9533447420
10231444720
1110970a931
1265615b00
1338c46a50
1422a49a5a
15154bb330
hexdcb90f0

231444720 has 240 divisors, whose sum is σ = 850362240. Its totient is φ = 56070144.

The previous prime is 231444701. The next prime is 231444793. The reversal of 231444720 is 27444132.

231444720 is digitally balanced in base 2, because in such base 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 (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739284 + ... + 739596.

It is an arithmetic number, because the mean of its divisors is an integer number (3543176).

Almost surely, 2231444720 is an apocalyptic number.

231444720 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 231444720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425181120).

231444720 is an abundant number, since it is smaller than the sum of its proper divisors (618917520).

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

231444720 is a wasteful number, since it uses less digits than its factorization.

231444720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 231444720 is about 15213.3073327268. The cubic root of 231444720 is about 613.9727447433.

Adding to 231444720 its reverse (27444132), we get a palindrome (258888852).

The spelling of 231444720 in words is "two hundred thirty-one million, four hundred forty-four thousand, seven hundred twenty".