Search a number
-
+
231422040 = 233254115679
BaseRepresentation
bin11011100101100…
…11100001011000
3121010110110100200
431302303201120
5433221001130
634544102200
75510024553
oct1562634130
9533413320
10231422040
111096a4893
1265604960
1338c39625
1422a4169a
15154b4760
hexdcb3858

231422040 has 96 divisors (see below), whose sum is σ = 770515200. Its totient is φ = 60203520.

The previous prime is 231422039. The next prime is 231422063. The reversal of 231422040 is 40224132.

231422040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6921 + ... + 22599.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2231422040 is an apocalyptic number.

231422040 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 231422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

231422040 is an abundant number, since it is smaller than the sum of its proper divisors (539093160).

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

231422040 is a wasteful number, since it uses less digits than its factorization.

231422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15737 (or 15730 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 231422040 is about 15212.5619144180. The cubic root of 231422040 is about 613.9526890445.

Adding to 231422040 its reverse (40224132), we get a palindrome (271646172).

The spelling of 231422040 in words is "two hundred thirty-one million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 15679 31358 47037 62716 78395 94074 125432 141111 156790 188148 235185 282222 313580 376296 470370 564444 627160 642839 705555 940740 1128888 1285678 1411110 1881480 1928517 2571356 2822220 3214195 3857034 5142712 5644440 5785551 6428390 7714068 9642585 11571102 12856780 15428136 19285170 23142204 25713560 28927755 38570340 46284408 57855510 77140680 115711020 231422040