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223311104 = 2819311481
BaseRepresentation
bin11010100111101…
…11010100000000
3120120012101020122
431103313110000
5424131423404
634054155412
75351053532
oct1523672400
9516171218
10223311104
11105064a35
1262952b68
1337359863
142192d852
15149113be
hexd4f7500

223311104 has 72 divisors (see below), whose sum is σ = 484673280. Its totient is φ = 102297600.

The previous prime is 223311097. The next prime is 223311131. The reversal of 223311104 is 401113322.

223311104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2233111043 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150044 + ... + 151524.

Almost surely, 2223311104 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 223311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242336640).

223311104 is an abundant number, since it is smaller than the sum of its proper divisors (261362176).

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

223311104 is a wasteful number, since it uses less digits than its factorization.

223311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 223311104 is about 14943.5974249844. The cubic root of 223311104 is about 606.6945675424.

Adding to 223311104 its reverse (401113322), we get a palindrome (624424426).

The spelling of 223311104 in words is "two hundred twenty-three million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 992 1178 1216 1481 1984 2356 2432 2962 3968 4712 4864 5924 7936 9424 11848 18848 23696 28139 37696 45911 47392 56278 75392 91822 94784 112556 150784 183644 189568 225112 367288 379136 450224 734576 872309 900448 1469152 1744618 1800896 2938304 3489236 3601792 5876608 6978472 7203584 11753216 13956944 27913888 55827776 111655552 223311104