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244224330 = 235721031613
BaseRepresentation
bin11101000111010…
…01000101001010
3122000112212210120
432203221011022
51000010134310
640122324110
76023605200
oct1643510512
9560485716
10244224330
11115949399
1269959636
133b79c84c
1424615070
1516692b70
hexe8e914a

244224330 has 96 divisors (see below), whose sum is σ = 688881024. Its totient is φ = 55246464.

The previous prime is 244224319. The next prime is 244224349. The reversal of 244224330 is 33422442.

It is a self number, because there is not a number n which added to its sum of digits gives 244224330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150604 + ... + 152216.

It is an arithmetic number, because the mean of its divisors is an integer number (7175844).

Almost surely, 2244224330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244224330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344440512).

244224330 is an abundant number, since it is smaller than the sum of its proper divisors (444656694).

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

244224330 is a wasteful number, since it uses less digits than its factorization.

244224330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 244224330 is about 15627.6783304495. The cubic root of 244224330 is about 625.0714201050.

Adding to 244224330 its reverse (33422442), we get a palindrome (277646772).

The spelling of 244224330 in words is "two hundred forty-four million, two hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 103 105 147 206 210 245 294 309 490 515 618 721 735 1030 1442 1470 1545 1613 2163 3090 3226 3605 4326 4839 5047 7210 8065 9678 10094 10815 11291 15141 16130 21630 22582 24195 25235 30282 33873 48390 50470 56455 67746 75705 79037 112910 151410 158074 166139 169365 237111 332278 338730 395185 474222 498417 790370 830695 996834 1162973 1185555 1661390 2325946 2371110 2492085 3488919 4984170 5814865 6977838 8140811 11629730 16281622 17444595 24422433 34889190 40704055 48844866 81408110 122112165 244224330