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235055040 = 26351122259
BaseRepresentation
bin11100000001010…
…10011111000000
3121101022000220020
432000222133000
5440133230130
635154013440
75552635443
oct1600523700
9541260806
10235055040
11110756370
1266877280
133990c12c
142330965a
1515980e10
hexe02a7c0

235055040 has 112 divisors (see below), whose sum is σ = 814181760. Its totient is φ = 56980480.

The previous prime is 235055017. The next prime is 235055057. The reversal of 235055040 is 40550532.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 235055040.

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 15 ways as a sum of consecutive naturals, for example, 570 + ... + 21689.

It is an arithmetic number, because the mean of its divisors is an integer number (7269480).

Almost surely, 2235055040 is an apocalyptic number.

235055040 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 235055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407090880).

235055040 is an abundant number, since it is smaller than the sum of its proper divisors (579126720).

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

235055040 is a wasteful number, since it uses less digits than its factorization.

235055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22290 (or 22280 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 235055040 is about 15331.5048185102. The cubic root of 235055040 is about 617.1487531281.

The spelling of 235055040 in words is "two hundred thirty-five million, fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 22259 44518 66777 89036 111295 133554 178072 222590 244849 267108 333885 356144 445180 489698 534216 667770 712288 734547 890360 979396 1068432 1224245 1335540 1424576 1469094 1780720 1958792 2136864 2448490 2671080 2938188 3561440 3672735 3917584 4273728 4896980 5342160 5876376 7122880 7345470 7835168 9793960 10684320 11752752 14690940 15670336 19587920 21368640 23505504 29381880 39175840 47011008 58763760 78351680 117527520 235055040