Search a number
-
+
224244060 = 223553151467
BaseRepresentation
bin11010101110110…
…11000101011100
3120121221210000120
431113123011130
5424401302220
634130154540
75362020525
oct1527330534
9517853016
10224244060
11105641977
1263122a50
13375c53c1
1421ad384c
1514a47a40
hexd5db15c

224244060 has 96 divisors (see below), whose sum is σ = 645345792. Its totient is φ = 58156800.

The previous prime is 224244029. The next prime is 224244071. The reversal of 224244060 is 60442422.

224244060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224244060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479947 + ... + 480413.

It is an arithmetic number, because the mean of its divisors is an integer number (6722352).

Almost surely, 2224244060 is an apocalyptic number.

224244060 is a gapful number since it is divisible by the number (20) 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 224244060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322672896).

224244060 is an abundant number, since it is smaller than the sum of its proper divisors (421101732).

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

224244060 is a wasteful number, since it uses less digits than its factorization.

224244060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 224244060 is about 14974.7807997313. The cubic root of 224244060 is about 607.5382827405.

Adding to 224244060 its reverse (60442422), we get a palindrome (284686482).

The spelling of 224244060 in words is "two hundred twenty-four million, two hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 151 159 212 265 302 318 453 467 530 604 636 755 795 906 934 1060 1401 1510 1590 1812 1868 2265 2335 2802 3020 3180 4530 4670 5604 7005 8003 9060 9340 14010 16006 24009 24751 28020 32012 40015 48018 49502 70517 74253 80030 96036 99004 120045 123755 141034 148506 160060 211551 240090 247510 282068 297012 352585 371265 423102 480180 495020 705170 742530 846204 1057755 1410340 1485060 2115510 3737401 4231020 7474802 11212203 14949604 18687005 22424406 37374010 44848812 56061015 74748020 112122030 224244060