Search a number
-
+
233031000 = 23353173449
BaseRepresentation
bin11011110001111…
…00010101011000
3121020111012102210
431320330111120
5434123443000
635042355120
75526505446
oct1570742530
9536435383
10233031000
1110a5a3704
126605baa0
1339380a87
1422d3db96
15156d1350
hexde3c558

233031000 has 128 divisors (see below), whose sum is σ = 732888000. Its totient is φ = 61644800.

The previous prime is 233030981. The next prime is 233031013. The reversal of 233031000 is 130332.

It is a happy number.

It is a super-2 number, since 2×2330310002 = 108606893922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518776 + ... + 519224.

Almost surely, 2233031000 is an apocalyptic number.

233031000 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 233031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366444000).

233031000 is an abundant number, since it is smaller than the sum of its proper divisors (499857000).

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

233031000 is a wasteful number, since it uses less digits than its factorization.

233031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 233031000 is about 15265.3529274629. The cubic root of 233031000 is about 615.3722381325.

Adding to 233031000 its reverse (130332), we get a palindrome (233161332).

The spelling of 233031000 in words is "two hundred thirty-three million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 173 200 250 300 346 375 449 500 519 600 692 750 865 898 1000 1038 1347 1384 1500 1730 1796 2076 2245 2595 2694 3000 3460 3592 4152 4325 4490 5190 5388 6735 6920 8650 8980 10380 10776 11225 12975 13470 17300 17960 20760 21625 22450 25950 26940 33675 34600 43250 44900 51900 53880 56125 64875 67350 77677 86500 89800 103800 112250 129750 134700 155354 168375 173000 224500 233031 259500 269400 310708 336750 388385 449000 466062 519000 621416 673500 776770 932124 1165155 1347000 1553540 1864248 1941925 2330310 3107080 3883850 4660620 5825775 7767700 9321240 9709625 11651550 15535400 19419250 23303100 29128875 38838500 46606200 58257750 77677000 116515500 233031000