Search a number
-
+
3044122224 = 24311131014391
BaseRepresentation
bin1011010101110001…
…1001111001110000
321212011001102122120
42311130121321300
522213243402344
61222022034240
7135302416623
oct26534317160
97764042576
103044122224
1113223670a0
1270b578980
13396892470
1420c40ddba
1512c3ac219
hexb5719e70

3044122224 has 160 divisors (see below), whose sum is σ = 9332402688. Its totient is φ = 842880000.

The previous prime is 3044122219. The next prime is 3044122229. The reversal of 3044122224 is 4222214403.

It is an interprime number because it is at equal distance from previous prime (3044122219) and next prime (3044122229).

It is a super-2 number, since 2×30441222242 = 18533360229301412352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3044122194 and 3044122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3044122229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691069 + ... + 695459.

Almost surely, 23044122224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3044122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666201344).

3044122224 is an abundant number, since it is smaller than the sum of its proper divisors (6288280464).

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

3044122224 is a wasteful number, since it uses less digits than its factorization.

3044122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4521 counting only the distinct ones).

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

The square root of 3044122224 is about 55173.5645395510. The cubic root of 3044122224 is about 1449.2857717533.

Adding to 3044122224 its reverse (4222214403), we get a palindrome (7266336627).

The spelling of 3044122224 in words is "three billion, forty-four million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 101 104 132 143 156 176 202 208 264 286 303 312 404 429 528 572 606 624 808 858 1111 1144 1212 1313 1616 1716 2222 2288 2424 2626 3333 3432 3939 4391 4444 4848 5252 6666 6864 7878 8782 8888 10504 13173 13332 14443 15756 17564 17776 21008 26346 26664 28886 31512 35128 43329 48301 52692 53328 57083 57772 63024 70256 86658 96602 105384 114166 115544 144903 171249 173316 193204 210768 228332 231088 289806 342498 346632 386408 443491 456664 579612 627913 684996 693264 772816 886982 913328 1159224 1255826 1330473 1369992 1773964 1883739 2318448 2511652 2660946 2739984 3547928 3767478 4878401 5023304 5321892 5765383 7095856 7534956 9756802 10046608 10643784 11530766 14635203 15069912 17296149 19513604 21287568 23061532 29270406 30139824 34592298 39027208 46123064 58540812 63419213 69184596 78054416 92246128 117081624 126838426 138369192 190257639 234163248 253676852 276738384 380515278 507353704 761030556 1014707408 1522061112 3044122224