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232035012 = 2232112112777
BaseRepresentation
bin11011101010010…
…01001011000100
3121011121121012100
431311021023010
5433400110022
635005152100
75515156626
oct1565111304
9534547170
10232035012
11109a83380
126585b630
13390c2631
1422b60c16
15155861ac
hexdd492c4

232035012 has 72 divisors (see below), whose sum is σ = 643118112. Its totient is φ = 69955200.

The previous prime is 232034993. The next prime is 232035043. The reversal of 232035012 is 210530232.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82168 + ... + 84944.

It is an arithmetic number, because the mean of its divisors is an integer number (8932196).

Almost surely, 2232035012 is an apocalyptic number.

232035012 is a gapful number since it is divisible by the number (22) 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 232035012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321559056).

232035012 is an abundant number, since it is smaller than the sum of its proper divisors (411083100).

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

232035012 is a wasteful number, since it uses less digits than its factorization.

232035012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 232035012 is about 15232.6954935757. The cubic root of 232035012 is about 614.4942739148.

Adding to 232035012 its reverse (210530232), we get a palindrome (442565244).

The spelling of 232035012 in words is "two hundred thirty-two million, thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 396 422 633 844 1266 1899 2321 2532 2777 3798 4642 5554 6963 7596 8331 9284 11108 13926 16662 20889 24993 27852 30547 33324 41778 49986 61094 83556 91641 99972 122188 183282 274923 366564 549846 585947 1099692 1171894 1757841 2343788 3515682 5273523 6445417 7031364 10547046 12890834 19336251 21094092 25781668 38672502 58008753 77345004 116017506 232035012