Search a number
-
+
19214208 = 2732131283
BaseRepresentation
bin100100101001…
…0111110000000
31100011011221100
41021102332000
514404323313
61523454400
7322214046
oct111227600
940134840
1019214208
11a933a12
126527400
133c99870
1427a2396
151a48173
hex1252f80

19214208 has 96 divisors (see below), whose sum is σ = 59590440. Its totient is φ = 5907456.

The previous prime is 19214201. The next prime is 19214213. The reversal of 19214208 is 80241291.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19214201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14335 + ... + 15617.

Almost surely, 219214208 is an apocalyptic number.

19214208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29795220).

19214208 is an abundant number, since it is smaller than the sum of its proper divisors (40376232).

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

19214208 is a wasteful number, since it uses less digits than its factorization.

19214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19214208 is about 4383.4014189896. The cubic root of 19214208 is about 267.8392144648.

Adding to 19214208 its reverse (80241291), we get a palindrome (99455499).

It can be divided in two parts, 192 and 14208, that added together give a square (14400 = 1202).

The spelling of 19214208 in words is "nineteen million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1283 1664 1872 2496 2566 3744 3849 4992 5132 7488 7698 10264 11547 14976 15396 16679 20528 23094 30792 33358 41056 46188 50037 61584 66716 82112 92376 100074 123168 133432 150111 164224 184752 200148 246336 266864 300222 369504 400296 492672 533728 600444 739008 800592 1067456 1200888 1478016 1601184 2134912 2401776 3202368 4803552 6404736 9607104 19214208