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3013013224 = 2313179717569
BaseRepresentation
bin1011001110010110…
…1110111011101000
321202222111221010101
42303211232323220
522132312410344
61214551155144
7134444122054
oct26345567350
97688457111
103013013224
111306849481
12701075ab4
133902bc780
14208232c64
151297b49d4
hexb396eee8

3013013224 has 64 divisors (see below), whose sum is σ = 6508630800. Its totient is φ = 1295253504.

The previous prime is 3013013191. The next prime is 3013013233. The reversal of 3013013224 is 4223103103.

It can be written as a sum of positive squares in 8 ways, for example, as 433389124 + 2579624100 = 20818^2 + 50790^2 .

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 15 ways as a sum of consecutive naturals, for example, 162712 + ... + 180280.

Almost surely, 23013013224 is an apocalyptic number.

3013013224 is a gapful number since it is divisible by the number (34) 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 3013013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254315400).

3013013224 is an abundant number, since it is smaller than the sum of its proper divisors (3495617576).

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

3013013224 is a wasteful number, since it uses less digits than its factorization.

3013013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3013013224 is about 54890.9211436646. The cubic root of 3013013224 is about 1444.3319308144.

Adding to 3013013224 its reverse (4223103103), we get a palindrome (7236116327).

The spelling of 3013013224 in words is "three billion, thirteen million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 97 104 136 194 221 388 442 776 884 1261 1649 1768 2522 3298 5044 6596 10088 13192 17569 21437 35138 42874 70276 85748 140552 171496 228397 298673 456794 597346 913588 1194692 1704193 1827176 2389384 3408386 3882749 6816772 7765498 13633544 15530996 22154509 28971281 31061992 44309018 57942562 88618036 115885124 177236072 231770248 376626653 753253306 1506506612 3013013224