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230301456 = 24371162311
BaseRepresentation
bin11011011101000…
…01111100010000
3121001100112012120
431232201330100
5432424121311
634504054240
75464346550
oct1556417420
9531315176
10230301456
11108aa9990
1265164380
1338936568
142282d160
1515342706
hexdba1f10

230301456 has 80 divisors (see below), whose sum is σ = 741762048. Its totient is φ = 59817600.

The previous prime is 230301443. The next prime is 230301479. The reversal of 230301456 is 654103032.

It is a happy number.

230301456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27460 + ... + 34851.

Almost surely, 2230301456 is an apocalyptic number.

It is an amenable number.

230301456 is an abundant number, since it is smaller than the sum of its proper divisors (511460592).

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

230301456 is a wasteful number, since it uses less digits than its factorization.

230301456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62340 (or 62334 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 230301456 is about 15175.6863436222. The cubic root of 230301456 is about 612.9601316030.

Adding to 230301456 its reverse (654103032), we get a palindrome (884404488).

The spelling of 230301456 in words is "two hundred thirty million, three hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 62311 124622 186933 249244 373866 436177 498488 685421 747732 872354 996976 1308531 1370842 1495464 1744708 2056263 2617062 2741684 2990928 3489416 4112526 4797947 5234124 5483368 6978832 8225052 9595894 10468248 10966736 14393841 16450104 19191788 20936496 28787682 32900208 38383576 57575364 76767152 115150728 230301456