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230527296 = 2631061
BaseRepresentation
bin11011011110110…
…01000101000000
3121001210000000000
431233121011000
5433003333141
634513000000
75466310146
oct1557310500
9531700000
10230527296
1110914362a
1265253000
13389b52ac
142288b596
15153895b6
hexdbd9140

230527296 has 154 divisors (see below), whose sum is σ = 697423802. Its totient is φ = 75582720.

The previous prime is 230527291. The next prime is 230527303. The reversal of 230527296 is 692725032.

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 94478400 = 11664^2 + 9720^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 230527296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230527291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 3779106 + ... + 3779166.

Almost surely, 2230527296 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 230527296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348711901).

230527296 is an abundant number, since it is smaller than the sum of its proper divisors (466896506).

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

230527296 is an frugal number, since it uses more digits than its factorization.

230527296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 230527296 is about 15183.1253699625. The cubic root of 230527296 is about 613.1604280513.

The spelling of 230527296 in words is "two hundred thirty million, five hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 144 162 183 192 216 243 244 288 324 366 432 486 488 549 576 648 729 732 864 972 976 1098 1296 1458 1464 1647 1728 1944 1952 2187 2196 2592 2916 2928 3294 3888 3904 4374 4392 4941 5184 5832 5856 6561 6588 7776 8748 8784 9882 11664 11712 13122 13176 14823 15552 17496 17568 19683 19764 23328 26244 26352 29646 34992 35136 39366 39528 44469 46656 52488 52704 59049 59292 69984 78732 79056 88938 104976 105408 118098 118584 133407 139968 157464 158112 177876 209952 236196 237168 266814 314928 316224 355752 400221 419904 472392 474336 533628 629856 711504 800442 944784 948672 1067256 1200663 1259712 1423008 1600884 1889568 2134512 2401326 2846016 3201768 3601989 3779136 4269024 4802652 6403536 7203978 8538048 9605304 12807072 14407956 19210608 25614144 28815912 38421216 57631824 76842432 115263648 230527296