Search a number
-
+
224234130330 = 23357412893717
BaseRepresentation
bin1101000011010101100…
…1010100101110011010
3210102210021002001122000
43100311121110232122
512133212414132310
6251002311341430
722125505442130
oct3206531245632
9712707061560
10224234130330
1187108358a91
123755b681876
13181b6c92772
14abd2865750
155c75cb24c0
hex3435654b9a

224234130330 has 128 divisors (see below), whose sum is σ = 700048258560. Its totient is φ = 50003412480.

The previous prime is 224234130313. The next prime is 224234130347. The reversal of 224234130330 is 33031432422.

224234130330 is a `hidden beast` number, since 2 + 242 + 3 + 413 + 0 + 3 + 3 + 0 = 666.

224234130330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224234130313) and next prime (224234130347).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224234130294 and 224234130303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1369369 + ... + 1524348.

It is an arithmetic number, because the mean of its divisors is an integer number (5469127020).

Almost surely, 2224234130330 is an apocalyptic number.

224234130330 is an abundant number, since it is smaller than the sum of its proper divisors (475814128230).

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

224234130330 is a wasteful number, since it uses less digits than its factorization.

224234130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893781 (or 2893775 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 224234130330 its reverse (33031432422), we get a palindrome (257265562752).

The spelling of 224234130330 in words is "two hundred twenty-four billion, two hundred thirty-four million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 287 315 369 378 410 574 615 630 738 861 945 1107 1230 1435 1722 1845 1890 2214 2583 2870 3690 4305 5166 5535 7749 8610 11070 12915 15498 25830 38745 77490 2893717 5787434 8681151 14468585 17362302 20256019 26043453 28937170 40512038 43405755 52086906 60768057 78130359 86811510 101280095 118642397 121536114 130217265 156260718 182304171 202560190 237284794 260434530 303840285 355927191 364608342 390651795 546912513 593211985 607680570 711854382 781303590 830496779 911520855 1067781573 1093825026 1186423970 1660993558 1779635955 1823041710 2135563146 2491490337 2734562565 3203344719 3559271910 4152483895 4982980674 5338907865 5469125130 6406689438 7474471011 8304967790 10677815730 12457451685 14948942022 16016723595 22423413033 24914903370 32033447190 37372355055 44846826066 74744710110 112117065165 224234130330