Search a number
-
+
6022246880 = 255134097079
BaseRepresentation
bin1011001101111010…
…00011000111100000
3120112200220211122202
411212331003013200
544313143400010
62433325352332
7302144153036
oct54675030740
916480824582
106022246880
112610446241
121200a086a8
1374c887ac0
14411b60556
15253a7e6a5
hex166f431e0

6022246880 has 96 divisors (see below), whose sum is σ = 15361617600. Its totient is φ = 2217848832.

The previous prime is 6022246877. The next prime is 6022246913. The reversal of 6022246880 is 886422206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847181 + ... + 854259.

It is an arithmetic number, because the mean of its divisors is an integer number (160016850).

Almost surely, 26022246880 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 6022246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680808800).

6022246880 is an abundant number, since it is smaller than the sum of its proper divisors (9339370720).

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

6022246880 is a wasteful number, since it uses less digits than its factorization.

6022246880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 6022246880 is about 77603.1370499930. The cubic root of 6022246880 is about 1819.3636707948.

The spelling of 6022246880 in words is "six billion, twenty-two million, two hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 409 416 520 818 1040 1636 2045 2080 3272 4090 5317 6544 7079 8180 10634 13088 14158 16360 21268 26585 28316 32720 35395 42536 53170 56632 65440 70790 85072 92027 106340 113264 141580 170144 184054 212680 226528 283160 368108 425360 460135 566320 736216 850720 920270 1132640 1472432 1840540 2895311 2944864 3681080 5790622 7362160 11581244 14476555 14724320 23162488 28953110 37639043 46324976 57906220 75278086 92649952 115812440 150556172 188195215 231624880 301112344 376390430 463249760 602224688 752780860 1204449376 1505561720 3011123440 6022246880