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223243104 = 2537332207
BaseRepresentation
bin11010100111001…
…10101101100000
3120120001220222010
431103212231200
5424122234404
634052512520
75350351350
oct1523465540
9516056863
10223243104
11105018937
126291b740
1337334916
1421912b60
15148eb189
hexd4e6b60

223243104 has 48 divisors (see below), whose sum is σ = 669731328. Its totient is φ = 63783552.

The previous prime is 223243087. The next prime is 223243117. The reversal of 223243104 is 401342322.

223243104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2232431043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 165432 + ... + 166775.

It is an arithmetic number, because the mean of its divisors is an integer number (13952736).

Almost surely, 2223243104 is an apocalyptic number.

223243104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223243104 is an abundant number, since it is smaller than the sum of its proper divisors (446488224).

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

223243104 is a wasteful number, since it uses less digits than its factorization.

223243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332227 (or 332219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 223243104 is about 14941.3220298607. The cubic root of 223243104 is about 606.6329801902.

Adding to 223243104 its reverse (401342322), we get a palindrome (624585426).

The spelling of 223243104 in words is "two hundred twenty-three million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 332207 664414 996621 1328828 1993242 2325449 2657656 3986484 4650898 5315312 6976347 7972968 9301796 10630624 13952694 15945936 18603592 27905388 31891872 37207184 55810776 74414368 111621552 223243104