Search a number
-
+
7300220616 = 23321325433067
BaseRepresentation
bin1101100110010000…
…01000011011001000
3200211202122122001100
412303020020123020
5104422324024431
63204221021400
7345622565013
oct66310103310
920752578040
107300220616
113106869887
1214b89b4860
138c4580290
144d378a37a
152cad6d4e6
hex1b32086c8

7300220616 has 96 divisors (see below), whose sum is σ = 21307628160. Its totient is φ = 2244606336.

The previous prime is 7300220593. The next prime is 7300220617. The reversal of 7300220616 is 6160220037.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7300220616.

It is not an unprimeable number, because it can be changed into a prime (7300220617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378715 + ... + 2381781.

It is an arithmetic number, because the mean of its divisors is an integer number (221954460).

Almost surely, 27300220616 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 7300220616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653814080).

7300220616 is an abundant number, since it is smaller than the sum of its proper divisors (14007407544).

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

7300220616 is a wasteful number, since it uses less digits than its factorization.

7300220616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7300220616 is about 85441.3285009076. The cubic root of 7300220616 is about 1939.8969563011.

The spelling of 7300220616 in words is "seven billion, three hundred million, two hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2543 3067 5086 6134 7629 9201 10172 12268 15258 18402 20344 22887 24536 27603 30516 33059 36804 39871 45774 55206 61032 66118 73608 79742 91548 99177 110412 119613 132236 159484 183096 198354 220824 239226 264472 297531 318968 358839 396708 478452 595062 717678 793416 956904 1190124 1435356 2380248 2870712 7799381 15598762 23398143 31197524 46796286 62395048 70194429 93592572 101391953 140388858 187185144 202783906 280777716 304175859 405567812 561555432 608351718 811135624 912527577 1216703436 1825055154 2433406872 3650110308 7300220616