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223206864 = 2437696047
BaseRepresentation
bin11010100110111…
…01110111010000
3120120000002020220
431103131313100
5424120104424
634052033040
75350140606
oct1523356720
9516002226
10223206864
11104aa3691
1262902780
133732128a
1421903876
15148e0579
hexd4dddd0

223206864 has 40 divisors (see below), whose sum is σ = 577463040. Its totient is φ = 74293248.

The previous prime is 223206857. The next prime is 223206883. The reversal of 223206864 is 468602322.

It is a super-3 number, since 3×2232068643 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33889 + ... + 39935.

It is an arithmetic number, because the mean of its divisors is an integer number (14436576).

Almost surely, 2223206864 is an apocalyptic number.

223206864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223206864 is an abundant number, since it is smaller than the sum of its proper divisors (354256176).

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

223206864 is a wasteful number, since it uses less digits than its factorization.

223206864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 223206864 is about 14940.1092365484. The cubic root of 223206864 is about 606.6001526455.

The spelling of 223206864 in words is "two hundred twenty-three million, two hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 769 1538 2307 3076 4614 6047 6152 9228 12094 12304 18141 18456 24188 36282 36912 48376 72564 96752 145128 290256 4650143 9300286 13950429 18600572 27900858 37201144 55801716 74402288 111603432 223206864