Search a number
-
+
230331240 = 233253120639
BaseRepresentation
bin11011011101010…
…01001101101000
3121001102001001200
431232221031220
5432431044430
634504444200
75464532436
oct1556511550
9531361050
10230331240
1110901a2a7
1265179660
1338946c99
1422839d56
151534b460
hexdba9368

230331240 has 96 divisors (see below), whose sum is σ = 772761600. Its totient is φ = 59437440.

The previous prime is 230331239. The next prime is 230331247. The reversal of 230331240 is 42133032.

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

It is not an unprimeable number, because it can be changed into a prime (230331247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841 + ... + 21479.

It is an arithmetic number, because the mean of its divisors is an integer number (8049600).

Almost surely, 2230331240 is an apocalyptic number.

230331240 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 230331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386380800).

230331240 is an abundant number, since it is smaller than the sum of its proper divisors (542430360).

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

230331240 is a wasteful number, since it uses less digits than its factorization.

230331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20687 (or 20680 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230331240 is about 15176.6676184201. The cubic root of 230331240 is about 612.9865543881.

Adding to 230331240 its reverse (42133032), we get a palindrome (272464272).

The spelling of 230331240 in words is "two hundred thirty million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 20639 41278 61917 82556 103195 123834 165112 185751 206390 247668 309585 371502 412780 495336 619170 639809 743004 825560 928755 1238340 1279618 1486008 1857510 1919427 2476680 2559236 3199045 3715020 3838854 5118472 5758281 6398090 7430040 7677708 9597135 11516562 12796180 15355416 19194270 23033124 25592360 28791405 38388540 46066248 57582810 76777080 115165620 230331240