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230292216 = 233271141539
BaseRepresentation
bin11011011100111…
…11101011111000
3121001100001112100
431232133223320
5432423322331
634503543400
75464310610
oct1556375370
9531301470
10230292216
11108aa2a50
126515ab60
13389322ab
1422829a40
151533eae6
hexdb9faf8

230292216 has 96 divisors (see below), whose sum is σ = 777628800. Its totient is φ = 59814720.

The previous prime is 230292131. The next prime is 230292233. The reversal of 230292216 is 612292032.

It is a self number, because there is not a number n which added to its sum of digits gives 230292216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15226 + ... + 26313.

It is an arithmetic number, because the mean of its divisors is an integer number (8100300).

Almost surely, 2230292216 is an apocalyptic number.

It is an amenable number.

230292216 is an abundant number, since it is smaller than the sum of its proper divisors (547336584).

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

230292216 is a wasteful number, since it uses less digits than its factorization.

230292216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41569 (or 41562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230292216 is about 15175.3819062322. The cubic root of 230292216 is about 612.9519339021.

The spelling of 230292216 in words is "two hundred thirty million, two hundred ninety-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 41539 83078 124617 166156 249234 290773 332312 373851 456929 498468 581546 747702 872319 913858 996936 1163092 1370787 1495404 1744638 1827716 2326184 2616957 2741574 2990808 3198503 3489276 3655432 4112361 5233914 5483148 6397006 6978552 8224722 9595509 10467828 10966296 12794012 16449444 19191018 20935656 25588024 28786527 32898888 38382036 57573054 76764072 115146108 230292216