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230505352 = 237111093433
BaseRepresentation
bin11011011110100…
…11101110001000
3121001201212220021
431233103232020
5433002132402
634512310224
75466156160
oct1557235610
9531655807
10230505352
111091290a0
1265242374
13389a82cc
14228835a0
1515382d37
hexdbd3b88

230505352 has 64 divisors (see below), whose sum is σ = 543945600. Its totient is φ = 88957440.

The previous prime is 230505349. The next prime is 230505361. The reversal of 230505352 is 253505032.

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, 65428 + ... + 68860.

It is an arithmetic number, because the mean of its divisors is an integer number (8499150).

Almost surely, 2230505352 is an apocalyptic number.

230505352 is a gapful number since it is divisible by the number (22) 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 230505352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271972800).

230505352 is an abundant number, since it is smaller than the sum of its proper divisors (313440248).

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

230505352 is a wasteful number, since it uses less digits than its factorization.

230505352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 230505352 is about 15182.4027083990. The cubic root of 230505352 is about 613.1409717590.

The spelling of 230505352 in words is "two hundred thirty million, five hundred five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 109 154 218 308 436 616 763 872 1199 1526 2398 3052 3433 4796 6104 6866 8393 9592 13732 16786 24031 27464 33572 37763 48062 67144 75526 96124 151052 192248 264341 302104 374197 528682 748394 1057364 1496788 2114728 2619379 2993576 4116167 5238758 8232334 10477516 16464668 20955032 28813169 32929336 57626338 115252676 230505352