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230210512 = 24747101433
BaseRepresentation
bin11011011100010…
…11101111010000
3121001011220110021
431232023233100
5432413214022
634502113224
75463520450
oct1556135720
9531156407
10230210512
11108a47624
126511b814
133890404c
1422807d60
15153257c7
hexdb8bbd0

230210512 has 80 divisors (see below), whose sum is σ = 526966272. Its totient is φ = 95385600.

The previous prime is 230210509. The next prime is 230210527. The reversal of 230210512 is 215012032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 531448 + ... + 531880.

Almost surely, 2230210512 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 230210512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263483136).

230210512 is an abundant number, since it is smaller than the sum of its proper divisors (296755760).

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

230210512 is a wasteful number, since it uses less digits than its factorization.

230210512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 230210512 is about 15172.6896758617. The cubic root of 230210512 is about 612.8794368091.

Adding to 230210512 its reverse (215012032), we get a palindrome (445222544).

The spelling of 230210512 in words is "two hundred thirty million, two hundred ten thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 101 112 188 202 329 376 404 433 658 707 752 808 866 1316 1414 1616 1732 2632 2828 3031 3464 4747 5264 5656 6062 6928 9494 11312 12124 18988 20351 24248 33229 37976 40702 43733 48496 66458 75952 81404 87466 132916 142457 162808 174932 265832 284914 306131 325616 349864 531664 569828 612262 699728 1139656 1224524 2055451 2279312 2449048 4110902 4898096 8221804 14388157 16443608 28776314 32887216 57552628 115105256 230210512