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232015040 = 2654991453
BaseRepresentation
bin11011101010001…
…00010011000000
3121011120120210122
431311010103000
5433343440130
635004515412
75515044455
oct1565042300
9534516718
10232015040
11109a6a374
126584bb68
13390b650a
1422b5782c
15155802e5
hexdd444c0

232015040 has 56 divisors (see below), whose sum is σ = 553974000. Its totient is φ = 92556288.

The previous prime is 232015039. The next prime is 232015073. The reversal of 232015040 is 40510232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158954 + ... + 160406.

Almost surely, 2232015040 is an apocalyptic number.

232015040 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 232015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276987000).

232015040 is an abundant number, since it is smaller than the sum of its proper divisors (321958960).

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

232015040 is a wasteful number, since it uses less digits than its factorization.

232015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 232015040 is about 15232.0399159141. The cubic root of 232015040 is about 614.4766429092.

Adding to 232015040 its reverse (40510232), we get a palindrome (272525272).

The spelling of 232015040 in words is "two hundred thirty-two million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 499 998 1453 1996 2495 2906 3992 4990 5812 7265 7984 9980 11624 14530 15968 19960 23248 29060 31936 39920 46496 58120 79840 92992 116240 159680 232480 464960 725047 1450094 2900188 3625235 5800376 7250470 11600752 14500940 23201504 29001880 46403008 58003760 116007520 232015040