Search a number
-
+
231453640 = 235112172997
BaseRepresentation
bin11011100101110…
…11001111001000
3121010112001201001
431302323033020
5433223004030
634544504344
75510215645
oct1562731710
9533461631
10231453640
11109716600
126561b0b4
1338c4ab22
1422a4cdcc
15154bdcca
hexdcbb3c8

231453640 has 192 divisors, whose sum is σ = 633452400. Its totient is φ = 75694080.

The previous prime is 231453619. The next prime is 231453653. The reversal of 231453640 is 46354132.

It can be written as a sum of positive squares in 8 ways, for example, as 130370724 + 101082916 = 11418^2 + 10054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 231453599 and 231453608.

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, 2386072 + ... + 2386168.

Almost surely, 2231453640 is an apocalyptic number.

231453640 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 231453640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316726200).

231453640 is an abundant number, since it is smaller than the sum of its proper divisors (401998760).

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

231453640 is a wasteful number, since it uses less digits than its factorization.

231453640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 231453640 is about 15213.6004942946. The cubic root of 231453640 is about 613.9806322517.

The spelling of 231453640 in words is "two hundred thirty-one million, four hundred fifty-three thousand, six hundred forty".