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230480288 = 25173179173
BaseRepresentation
bin11011011110011…
…01100110100000
3121001200121111222
431233031212200
5433000332123
634511554212
75466023123
oct1557154640
9531617458
10230480288
11109111285
126522b968
1338999a8c
14228783ba
151537a6c8
hexdbcd9a0

230480288 has 96 divisors (see below), whose sum is σ = 505128960. Its totient is φ = 103034880.

The previous prime is 230480287. The next prime is 230480297. The reversal of 230480288 is 882084032.

It is not an unprimeable number, because it can be changed into a prime (230480281) 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, 1332170 + ... + 1332342.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2230480288 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 230480288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252564480).

230480288 is an abundant number, since it is smaller than the sum of its proper divisors (274648672).

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

230480288 is a wasteful number, since it uses less digits than its factorization.

230480288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 230480288 is about 15181.5772566621. The cubic root of 230480288 is about 613.1187476584.

The spelling of 230480288 in words is "two hundred thirty million, four hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 79 124 136 158 173 248 272 316 346 496 527 544 632 692 992 1054 1264 1343 1384 2108 2449 2528 2686 2768 2941 4216 4898 5363 5372 5536 5882 8432 9796 10726 10744 11764 13667 16864 19592 21452 21488 23528 27334 39184 41633 42904 42976 47056 54668 78368 83266 85808 91171 94112 109336 166532 171616 182342 218672 232339 333064 364684 423677 437344 464678 666128 729368 847354 929356 1332256 1458736 1694708 1858712 2917472 3389416 3717424 6778832 7202509 7434848 13557664 14405018 28810036 57620072 115240144 230480288