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232700256 = 2533416569
BaseRepresentation
bin11011101111010…
…11100101100000
3121012212101202000
431313223211200
5434032402011
635031324000
75523630255
oct1567534540
9535771660
10232700256
1110a398168
1265b20600
1339296379
1422c9542c
1515668356
hexddeb960

232700256 has 96 divisors (see below), whose sum is σ = 695368800. Its totient is φ = 75663360.

The previous prime is 232700249. The next prime is 232700257. The reversal of 232700256 is 652007232.

232700256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232700257) 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, 32140 + ... + 38708.

It is an arithmetic number, because the mean of its divisors is an integer number (7243425).

Almost surely, 2232700256 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 232700256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347684400).

232700256 is an abundant number, since it is smaller than the sum of its proper divisors (462668544).

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

232700256 is a wasteful number, since it uses less digits than its factorization.

232700256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6629 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 232700256 is about 15254.5159215230. The cubic root of 232700256 is about 615.0809649502.

Adding to 232700256 its reverse (652007232), we get a palindrome (884707488).

The spelling of 232700256 in words is "two hundred thirty-two million, seven hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 6569 8856 11808 13138 17712 19707 26276 35424 39414 52552 59121 78828 105104 118242 157656 177363 210208 236484 269329 315312 354726 472968 538658 630624 709452 807987 945936 1077316 1418904 1615974 1891872 2154632 2423961 2837808 3231948 4309264 4847922 5675616 6463896 7271883 8618528 9695844 12927792 14543766 19391688 25855584 29087532 38783376 58175064 77566752 116350128 232700256