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230301288 = 233273971151
BaseRepresentation
bin11011011101000…
…01111001101000
3121001100111222100
431232201321220
5432424120123
634504053400
75464346220
oct1556417150
9531314870
10230301288
11108aa9848
1265164260
1338936469
142282d080
1515342643
hexdba1e68

230301288 has 96 divisors (see below), whose sum is σ = 715253760. Its totient is φ = 65577600.

The previous prime is 230301257. The next prime is 230301289. The reversal of 230301288 is 882103032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230301289) 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, 199513 + ... + 200663.

It is an arithmetic number, because the mean of its divisors is an integer number (7450560).

Almost surely, 2230301288 is an apocalyptic number.

230301288 is a gapful number since it is divisible by the number (28) 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 230301288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357626880).

230301288 is an abundant number, since it is smaller than the sum of its proper divisors (484952472).

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

230301288 is a wasteful number, since it uses less digits than its factorization.

230301288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 230301288 is about 15175.6808084514. The cubic root of 230301288 is about 612.9599825559.

The spelling of 230301288 in words is "two hundred thirty million, three hundred one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 397 504 794 1151 1191 1588 2302 2382 2779 3176 3453 3573 4604 4764 5558 6906 7146 8057 8337 9208 9528 10359 11116 13812 14292 16114 16674 20718 22232 24171 25011 27624 28584 32228 33348 41436 48342 50022 64456 66696 72513 82872 96684 100044 145026 193368 200088 290052 456947 580104 913894 1370841 1827788 2741682 3198629 3655576 4112523 5483364 6397258 8225046 9595887 10966728 12794516 16450092 19191774 25589032 28787661 32900184 38383548 57575322 76767096 115150644 230301288