Search a number
-
+
224030640 = 24358111151
BaseRepresentation
bin11010101101001…
…10111110110000
3120121112221021010
431112212332300
5424322440030
634121430520
75360141361
oct1526467660
9517487233
10224030640
11105506599
126303b440
133754c212
1421a79b68
1514a046b0
hexd5a6fb0

224030640 has 80 divisors (see below), whose sum is σ = 695955456. Its totient is φ = 59616000.

The previous prime is 224030621. The next prime is 224030657. The reversal of 224030640 is 46030422.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194065 + ... + 195215.

Almost surely, 2224030640 is an apocalyptic number.

224030640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224030640 is an abundant number, since it is smaller than the sum of its proper divisors (471924816).

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

224030640 is a wasteful number, since it uses less digits than its factorization.

224030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1972 counting only the distinct ones).

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

The square root of 224030640 is about 14967.6531226509. The cubic root of 224030640 is about 607.3454839121.

The spelling of 224030640 in words is "two hundred twenty-four million, thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 811 1151 1622 2302 2433 3244 3453 4055 4604 4866 5755 6488 6906 8110 9208 9732 11510 12165 12976 13812 16220 17265 18416 19464 23020 24330 27624 32440 34530 38928 46040 48660 55248 64880 69060 92080 97320 138120 194640 276240 933461 1866922 2800383 3733844 4667305 5600766 7467688 9334610 11201532 14001915 14935376 18669220 22403064 28003830 37338440 44806128 56007660 74676880 112015320 224030640