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230026464 = 253219127331
BaseRepresentation
bin11011011010111…
…10110011100000
3121000211112222200
431231132303200
5432341321324
634454133200
75462123043
oct1555366340
9530745880
10230026464
11108931318
1265051200
133886b345
142279ac5a
15152daec9
hexdb5ece0

230026464 has 144 divisors (see below), whose sum is σ = 696084480. Its totient is φ = 71850240.

The previous prime is 230026453. The next prime is 230026469. The reversal of 230026464 is 464620032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230026469) 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, 694779 + ... + 695109.

It is an arithmetic number, because the mean of its divisors is an integer number (4833920).

Almost surely, 2230026464 is an apocalyptic number.

230026464 is a gapful number since it is divisible by the number (24) 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 230026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348042240).

230026464 is an abundant number, since it is smaller than the sum of its proper divisors (466058016).

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

230026464 is a wasteful number, since it uses less digits than its factorization.

230026464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 230026464 is about 15166.6233552495. The cubic root of 230026464 is about 612.7160656015.

Adding to 230026464 its reverse (464620032), we get a palindrome (694646496).

The spelling of 230026464 in words is "two hundred thirty million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 127 144 152 171 228 254 288 304 331 342 381 456 508 608 662 684 762 912 993 1016 1143 1324 1368 1524 1824 1986 2032 2286 2413 2648 2736 2979 3048 3972 4064 4572 4826 5296 5472 5958 6096 6289 7239 7944 9144 9652 10592 11916 12192 12578 14478 15888 18288 18867 19304 21717 23832 25156 28956 31776 36576 37734 38608 42037 43434 47664 50312 56601 57912 75468 77216 84074 86868 95328 100624 113202 115824 126111 150936 168148 173736 201248 226404 231648 252222 301872 336296 347472 378333 452808 504444 603744 672592 694944 756666 798703 905616 1008888 1345184 1513332 1597406 1811232 2017776 2396109 3026664 3194812 4035552 4792218 6053328 6389624 7188327 9584436 12106656 12779248 14376654 19168872 25558496 28753308 38337744 57506616 76675488 115013232 230026464