Search a number
-
+
15003135224 = 23711193141351
BaseRepresentation
bin11011111100100000…
…11010110011111000
31102201121001020101222
431332100122303320
5221211300311344
610520425131212
71040535355010
oct157620326370
942647036358
1015003135224
1163a9973610
122aa8629b08
1315513a610c
14a247dcc40
155cc2335ee
hex37e41acf8

15003135224 has 128 divisors (see below), whose sum is σ = 38110003200. Its totient is φ = 5358960000.

The previous prime is 15003135223. The next prime is 15003135241. The reversal of 15003135224 is 42253130051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 15003135193 and 15003135202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15003135223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 342149 + ... + 383499.

It is an arithmetic number, because the mean of its divisors is an integer number (297734400).

Almost surely, 215003135224 is an apocalyptic number.

15003135224 is a gapful number since it is divisible by the number (14) 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 15003135224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055001600).

15003135224 is an abundant number, since it is smaller than the sum of its proper divisors (23106867976).

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

15003135224 is a wasteful number, since it uses less digits than its factorization.

15003135224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41425 (or 41421 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 15003135224 its reverse (42253130051), we get a palindrome (57256265275).

The spelling of 15003135224 in words is "fifteen billion, three million, one hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 31 38 44 56 62 76 77 88 124 133 152 154 209 217 248 266 308 341 418 434 532 589 616 682 836 868 1064 1178 1364 1463 1672 1736 2356 2387 2728 2926 4123 4712 4774 5852 6479 8246 9548 11704 12958 16492 19096 25916 32984 41351 45353 51832 82702 90706 165404 181412 289457 330808 362824 454861 578914 785669 909722 1157828 1281881 1571338 1819444 2315656 2563762 3142676 3184027 3638888 5127524 5499683 6285352 6368054 8642359 8973167 10255048 10999366 12736108 14100691 17284718 17946334 21998732 24355739 25472216 28201382 34569436 35892668 43997464 48711478 56402764 60496513 69138872 71785336 97422956 98704837 112805528 120993026 170490173 194845912 197409674 241986052 267913129 340980346 394819348 483972104 535826258 681960692 789638696 1071652516 1363921384 1875391903 2143305032 3750783806 7501567612 15003135224