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223135880463 = 33263193116273
BaseRepresentation
bin1100111111001111101…
…1110101010100001111
3210022221201112012001000
43033303323311110033
512123440241133323
6250301320151343
722056341455356
oct3176373652417
9708851465030
10223135880463
11866a4429671
12372b3908553
13180705a5582
14ab2aa6099d
155c0e674e43
hex33f3ef550f

223135880463 has 32 divisors (see below), whose sum is σ = 332020846080. Its totient is φ = 148105791360.

The previous prime is 223135880449. The next prime is 223135880467. The reversal of 223135880463 is 364088531322.

223135880463 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 588 + 0 + 4 + 63 = 666.

It is not a de Polignac number, because 223135880463 - 26 = 223135880399 is a prime.

It is a super-3 number, since 3×2231358804633 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223135880467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13703895 + ... + 13720167.

It is an arithmetic number, because the mean of its divisors is an integer number (10375651440).

Almost surely, 2223135880463 is an apocalyptic number.

223135880463 is a deficient number, since it is larger than the sum of its proper divisors (108884965617).

223135880463 is a wasteful number, since it uses less digits than its factorization.

223135880463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18476 (or 18470 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 223135880463 in words is "two hundred twenty-three billion, one hundred thirty-five million, eight hundred eighty thousand, four hundred sixty-three".

Divisors: 1 3 9 27 263 789 1931 2367 5793 7101 16273 17379 48819 52137 146457 439371 507853 1523559 4279799 4570677 12839397 13712031 31423163 38518191 94269489 115554573 282808467 848425401 8264291869 24792875607 74378626821 223135880463