Search a number
-
+
231135000 = 2335419811
BaseRepresentation
bin11011100011011…
…01011100011000
3121002220212121120
431301231130120
5433132310000
634534005240
75504420655
oct1561553430
9532825546
10231135000
11109519168
12654a6820
1338b68a95
14229a8c2c
15154596a0
hexdc6d718

231135000 has 160 divisors (see below), whose sum is σ = 761006400. Its totient is φ = 58320000.

The previous prime is 231134993. The next prime is 231135011. The reversal of 231135000 is 531132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284595 + ... + 285405.

It is an arithmetic number, because the mean of its divisors is an integer number (4756290).

Almost surely, 2231135000 is an apocalyptic number.

231135000 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 231135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380503200).

231135000 is an abundant number, since it is smaller than the sum of its proper divisors (529871400).

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

231135000 is a wasteful number, since it uses less digits than its factorization.

231135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 231135000 is about 15203.1246788284. The cubic root of 231135000 is about 613.6987491131.

Adding to 231135000 its reverse (531132), we get a palindrome (231666132).

The spelling of 231135000 in words is "two hundred thirty-one million, one hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 625 750 760 811 950 1000 1140 1250 1425 1500 1622 1875 1900 2280 2375 2433 2500 2850 3000 3244 3750 3800 4055 4750 4866 5000 5700 6488 7125 7500 8110 9500 9732 11400 11875 12165 14250 15000 15409 16220 19000 19464 20275 23750 24330 28500 30818 32440 35625 40550 46227 47500 48660 57000 60825 61636 71250 77045 81100 92454 95000 97320 101375 121650 123272 142500 154090 162200 184908 202750 231135 243300 285000 304125 308180 369816 385225 405500 462270 486600 506875 608250 616360 770450 811000 924540 1013750 1155675 1216500 1520625 1540900 1849080 1926125 2027500 2311350 2433000 3041250 3081800 3852250 4055000 4622700 5778375 6082500 7704500 9245400 9630625 11556750 12165000 15409000 19261250 23113500 28891875 38522500 46227000 57783750 77045000 115567500 231135000