Search a number
-
+
232503000 = 23353194079
BaseRepresentation
bin11011101101110…
…11011011011000
3121012111101011020
431312323123120
5434010044000
635023202440
75522146212
oct1566733330
9535441136
10232503000
1110a272a44
1265a46420
1339227652
1422c435b2
1515629ba0
hexddbb6d8

232503000 has 128 divisors (see below), whose sum is σ = 763776000. Its totient is φ = 58723200.

The previous prime is 232502993. The next prime is 232503041. The reversal of 232503000 is 305232.

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 31 ways as a sum of consecutive naturals, for example, 54961 + ... + 59039.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2232503000 is an apocalyptic number.

232503000 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 232503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

232503000 is an abundant number, since it is smaller than the sum of its proper divisors (531273000).

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

232503000 is a wasteful number, since it uses less digits than its factorization.

232503000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 232503000 is about 15248.0490555349. The cubic root of 232503000 is about 614.9071179711.

Adding to 232503000 its reverse (305232), we get a palindrome (232808232).

The spelling of 232503000 in words is "two hundred thirty-two million, five hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4079 4750 5700 7125 8158 9500 11400 12237 14250 16316 19000 20395 24474 28500 32632 40790 48948 57000 61185 77501 81580 97896 101975 122370 155002 163160 203950 232503 244740 305925 310004 387505 407900 465006 489480 509875 611850 620008 775010 815800 930012 1019750 1162515 1223700 1529625 1550020 1860024 1937525 2039500 2325030 2447400 3059250 3100040 3875050 4079000 4650060 5812575 6118500 7750100 9300120 9687625 11625150 12237000 15500200 19375250 23250300 29062875 38750500 46500600 58125750 77501000 116251500 232503000