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232443040 = 2551797881
BaseRepresentation
bin11011101101011…
…00110010100000
3121012101022220111
431312230302200
5434001134130
635022021104
75521506334
oct1566546240
9535338814
10232443040
1110a231995
1265a17794
133920627b
1422c297c4
151561702a
hexddacca0

232443040 has 96 divisors (see below), whose sum is σ = 588110544. Its totient is φ = 86507520.

The previous prime is 232443031. The next prime is 232443047. The reversal of 232443040 is 40344232.

232443040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 87385104 + 145057936 = 9348^2 + 12044^2 .

It is not an unprimeable number, because it can be changed into a prime (232443047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263400 + ... + 264280.

Almost surely, 2232443040 is an apocalyptic number.

232443040 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 232443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294055272).

232443040 is an abundant number, since it is smaller than the sum of its proper divisors (355667504).

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

232443040 is a wasteful number, since it uses less digits than its factorization.

232443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 232443040 is about 15246.0827755853. The cubic root of 232443040 is about 614.8542541361.

Adding to 232443040 its reverse (40344232), we get a palindrome (272787272).

The spelling of 232443040 in words is "two hundred thirty-two million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 97 136 160 170 194 272 340 388 485 544 680 776 881 970 1360 1552 1649 1762 1940 2720 3104 3298 3524 3880 4405 6596 7048 7760 8245 8810 13192 14096 14977 15520 16490 17620 26384 28192 29954 32980 35240 52768 59908 65960 70480 74885 85457 119816 131920 140960 149770 170914 239632 263840 299540 341828 427285 479264 599080 683656 854570 1198160 1367312 1452769 1709140 2396320 2734624 2905538 3418280 5811076 6836560 7263845 11622152 13673120 14527690 23244304 29055380 46488608 58110760 116221520 232443040