Search a number
-
+
224107104 = 25313179573
BaseRepresentation
bin11010101101110…
…01101001100000
3120121200211011010
431112321221200
5424332411404
634123220520
75360610324
oct1526715140
9517624133
10224107104
11105558a91
1263077740
1337577c70
1421a99984
1514a1c189
hexd5b9a60

224107104 has 48 divisors (see below), whose sum is σ = 633537072. Its totient is φ = 68955648.

The previous prime is 224107097. The next prime is 224107129. The reversal of 224107104 is 401701422.

It is a happy number.

224107104 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 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, 88539 + ... + 91034.

It is an arithmetic number, because the mean of its divisors is an integer number (13198689).

Almost surely, 2224107104 is an apocalyptic number.

224107104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224107104 is an abundant number, since it is smaller than the sum of its proper divisors (409429968).

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

224107104 is a wasteful number, since it uses less digits than its factorization.

224107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179599 (or 179591 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 224107104 is about 14970.2072129947. The cubic root of 224107104 is about 607.4145738404.

Adding to 224107104 its reverse (401701422), we get a palindrome (625808526).

The spelling of 224107104 in words is "two hundred twenty-four million, one hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 179573 359146 538719 718292 1077438 1436584 2154876 2334449 2873168 4309752 4668898 5746336 7003347 8619504 9337796 14006694 17239008 18675592 28013388 37351184 56026776 74702368 112053552 224107104