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223674368 = 2163413
BaseRepresentation
bin11010101010100…
…00000000000000
3120120212211112212
431111100000000
5424230034433
634110041252
75354125601
oct1525200000
9516784485
10223674368
11105292955
1262aa9228
1337455cc8
14219c5da8
1514983d48
hexd550000

223674368 has 34 divisors (see below), whose sum is σ = 447476394. Its totient is φ = 111804416.

The previous prime is 223674349. The next prime is 223674421. The reversal of 223674368 is 863476322.

It can be written as a sum of positive squares in only one way, i.e., 220463104 + 3211264 = 14848^2 + 1792^2 .

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63830 + ... + 67242.

Almost surely, 2223674368 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 223674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223738197).

223674368 is an abundant number, since it is smaller than the sum of its proper divisors (223802026).

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

223674368 is an frugal number, since it uses more digits than its factorization.

223674368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3415 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 223674368 is about 14955.7469890340. The cubic root of 223674368 is about 607.0233628047.

The spelling of 223674368 in words is "two hundred twenty-three million, six hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3413 4096 6826 8192 13652 16384 27304 32768 54608 65536 109216 218432 436864 873728 1747456 3494912 6989824 13979648 27959296 55918592 111837184 223674368