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233287056 = 243217233409
BaseRepresentation
bin11011110011110…
…10110110010000
3121020222012200100
431321322312100
5434210141211
635052052400
75531623122
oct1571726620
9536865610
10233287056
1110a759022
1266164100
13394404a2
1422da9212
1515732156
hexde7ad90

233287056 has 120 divisors (see below), whose sum is σ = 695948760. Its totient is φ = 72695808.

The previous prime is 233287051. The next prime is 233287057. The reversal of 233287056 is 650782332.

It can be written as a sum of positive squares in 4 ways, for example, as 79923600 + 153363456 = 8940^2 + 12384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 233287056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233287051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570180 + ... + 570588.

It is an arithmetic number, because the mean of its divisors is an integer number (5799573).

Almost surely, 2233287056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233287056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347974380).

233287056 is an abundant number, since it is smaller than the sum of its proper divisors (462661704).

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

233287056 is a wasteful number, since it uses less digits than its factorization.

233287056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 233287056 is about 15273.7374600980. The cubic root of 233287056 is about 615.5975473204.

The spelling of 233287056 in words is "two hundred thirty-three million, two hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 233 272 306 408 409 466 612 699 816 818 932 1224 1227 1398 1636 1864 2097 2448 2454 2796 3272 3681 3728 3961 4194 4908 5592 6544 6953 7362 7922 8388 9816 11184 11883 13906 14724 15844 16776 19632 20859 23766 27812 29448 31688 33552 35649 41718 47532 55624 58896 62577 63376 71298 83436 95064 95297 111248 125154 142596 166872 190128 190594 250308 285192 285891 333744 381188 500616 570384 571782 762376 857673 1001232 1143564 1524752 1620049 1715346 2287128 3240098 3430692 4574256 4860147 6480196 6861384 9720294 12960392 13722768 14580441 19440588 25920784 29160882 38881176 58321764 77762352 116643528 233287056