Search a number
-
+
6244345200 = 2435210151521
BaseRepresentation
bin1011101000011000…
…10010010101110000
3121010011211121021110
411310030102111300
5100242023021300
62511341553320
7310512026022
oct56414222560
917104747243
106244345200
112714851a75
121263275840
137868ab622
14433456012
15268301550
hex174312570

6244345200 has 120 divisors (see below), whose sum is σ = 20201157936. Its totient is φ = 1648640000.

The previous prime is 6244345111. The next prime is 6244345229. The reversal of 6244345200 is 25434426.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95440 + ... + 146960.

Almost surely, 26244345200 is an apocalyptic number.

6244345200 is a gapful number since it is divisible by the number (60) 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 6244345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100578968).

6244345200 is an abundant number, since it is smaller than the sum of its proper divisors (13956812736).

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

6244345200 is a wasteful number, since it uses less digits than its factorization.

6244345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51643 (or 51632 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 6244345200 is about 79021.1693155701. The cubic root of 6244345200 is about 1841.4600493915.

Adding to 6244345200 its reverse (25434426), we get a palindrome (6269779626).

The spelling of 6244345200 in words is "six billion, two hundred forty-four million, three hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 150 200 202 240 300 303 400 404 505 600 606 808 1010 1200 1212 1515 1616 2020 2424 2525 3030 4040 4848 5050 6060 7575 8080 10100 12120 15150 20200 24240 30300 40400 51521 60600 103042 121200 154563 206084 257605 309126 412168 515210 618252 772815 824336 1030420 1236504 1288025 1545630 2060840 2473008 2576050 3091260 3864075 4121680 5152100 5203621 6182520 7728150 10304200 10407242 12365040 15456300 15610863 20608400 20814484 26018105 30912600 31221726 41628968 52036210 61825200 62443452 78054315 83257936 104072420 124886904 130090525 156108630 208144840 249773808 260181050 312217260 390271575 416289680 520362100 624434520 780543150 1040724200 1248869040 1561086300 2081448400 3122172600 6244345200