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230412202214032 = 24297928122369387
BaseRepresentation
bin110100011000111100000101…
…011101110000001010010000
31010012211012011112111212220101
4310120330011131300022100
5220200033142231322112
62134013523204422144
766350506111020046
oct6430740535601220
91105735145455811
10230412202214032
11674642a2352803
1221a135183a7954
139b74a15051c47
1440c801d98c396
151b9883bb27757
hexd18f05770290

230412202214032 has 80 divisors (see below), whose sum is σ = 469327655750400. Its totient is φ = 109434615413760.

The previous prime is 230412202213987. The next prime is 230412202214063.

230412202214032 is nontrivially palindromic in base 10.

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, 884358 + ... + 21485029.

It is an arithmetic number, because the mean of its divisors is an integer number (5866595696880).

Almost surely, 2230412202214032 is an apocalyptic number.

It is an amenable number.

230412202214032 is an abundant number, since it is smaller than the sum of its proper divisors (238915453536368).

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

230412202214032 is a wasteful number, since it uses less digits than its factorization.

230412202214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22369784 (or 22369778 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 23041220 and 2214032, that added together give a palindrome (25255252).

The spelling of 230412202214032 in words is "two hundred thirty trillion, four hundred twelve billion, two hundred two million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 79 116 158 232 281 316 464 562 632 1124 1264 2248 2291 4496 4582 8149 9164 16298 18328 22199 32596 36656 44398 65192 88796 130384 177592 355184 643771 1287542 2575084 5150168 10300336 22369387 44738774 89477548 178955096 357910192 648712223 1297424446 1767181573 2594848892 3534363146 5189697784 6285797747 7068726292 10379395568 12571595494 14137452584 25143190988 28274905168 50286381976 51248265617 100572763952 102496531234 182288134663 204993062468 364576269326 409986124936 496578022013 729152538652 819972249872 993156044026 1458305077304 1986312088052 2916610154608 3972624176104 7945248352208 14400762638377 28801525276754 57603050553508 115206101107016 230412202214032