Search a number
-
+
224013020 = 225711145463
BaseRepresentation
bin11010101101000…
…10101011011100
3120121112001002112
431112202223130
5424321404040
634121213152
75360036120
oct1526425334
9517461075
10224013020
111054a4330
12630311b8
13375441aa
1421a73580
15149ee365
hexd5a2adc

224013020 has 48 divisors (see below), whose sum is σ = 586510848. Its totient is φ = 69821760.

The previous prime is 224013017. The next prime is 224013043. The reversal of 224013020 is 20310422.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 224012986 and 224013004.

It is a congruent number.

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, 71192 + ... + 74271.

It is an arithmetic number, because the mean of its divisors is an integer number (12218976).

Almost surely, 2224013020 is an apocalyptic number.

224013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224013020 is an abundant number, since it is smaller than the sum of its proper divisors (362497828).

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

224013020 is a wasteful number, since it uses less digits than its factorization.

224013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145490 (or 145488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 224013020 is about 14967.0645084465. The cubic root of 224013020 is about 607.3295609294.

Adding to 224013020 its reverse (20310422), we get a palindrome (244323442).

The spelling of 224013020 in words is "two hundred twenty-four million, thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 145463 290926 581852 727315 1018241 1454630 1600093 2036482 2909260 3200186 4072964 5091205 6400372 8000465 10182410 11200651 16000930 20364820 22401302 32001860 44802604 56003255 112006510 224013020