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232043040 = 25325161141
BaseRepresentation
bin11011101010010…
…11001000100000
3121011122000012200
431311023020200
5433400334130
635005253200
75515222215
oct1565131040
9534560180
10232043040
11109a89409
1265864200
13390c6198
1422b63b0c
1515588760
hexdd4b220

232043040 has 72 divisors (see below), whose sum is σ = 791851788. Its totient is φ = 61877760.

The previous prime is 232043039. The next prime is 232043083. The reversal of 232043040 is 40340232.

232043040 is a `hidden beast` number, since 232 + 0 + 430 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213276816 + 18766224 = 14604^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79131 + ... + 82010.

Almost surely, 2232043040 is an apocalyptic number.

232043040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232043040 is an abundant number, since it is smaller than the sum of its proper divisors (559808748).

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

232043040 is a wasteful number, since it uses less digits than its factorization.

232043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161162 (or 161151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232043040 is about 15232.9590034241. The cubic root of 232043040 is about 614.5013606371.

Adding to 232043040 its reverse (40340232), we get a palindrome (272383272).

It can be divided in two parts, 23204 and 3040, that added together give a square (26244 = 1622).

The spelling of 232043040 in words is "two hundred thirty-two million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 161141 322282 483423 644564 805705 966846 1289128 1450269 1611410 1933692 2417115 2578256 2900538 3222820 3867384 4834230 5156512 5801076 6445640 7251345 7734768 9668460 11602152 12891280 14502690 15469536 19336920 23204304 25782560 29005380 38673840 46408608 58010760 77347680 116021520 232043040