Search a number
-
+
231608440 = 23573126683
BaseRepresentation
bin11011100111000…
…01000001111000
3121010210221001101
431303201001320
5433242432230
634552101144
75511432160
oct1563410170
9533727041
10231608440
11109811938
12656947b4
1338ca341b
1422a8d5a0
15154eeaca
hexdce1078

231608440 has 64 divisors (see below), whose sum is σ = 614799360. Its totient is φ = 76844160.

The previous prime is 231608437. The next prime is 231608473. The reversal of 231608440 is 44806132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 231608399 and 231608408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4662 + ... + 22021.

It is an arithmetic number, because the mean of its divisors is an integer number (9606240).

Almost surely, 2231608440 is an apocalyptic number.

231608440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231608440 is an abundant number, since it is smaller than the sum of its proper divisors (383190920).

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

231608440 is a wasteful number, since it uses less digits than its factorization.

231608440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26732 (or 26728 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 231608440 is about 15218.6871969957. The cubic root of 231608440 is about 614.1174818611.

The spelling of 231608440 in words is "two hundred thirty-one million, six hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 26683 53366 106732 133415 186781 213464 266830 373562 533660 747124 827173 933905 1067320 1494248 1654346 1867810 3308692 3735620 4135865 5790211 6617384 7471240 8271730 11580422 16543460 23160844 28951055 33086920 46321688 57902110 115804220 231608440