Search a number
-
+
7221650432 = 21061115613
BaseRepresentation
bin1101011100111000…
…11010010000000000
3200122021210212000112
412232130122100000
5104242220303212
63152333010452
7343650005303
oct65634322000
920567725015
107221650432
113076484947
121496623a28
138b1200949
144c7176b3a
152c3eed422
hex1ae71a400

7221650432 has 44 divisors (see below), whose sum is σ = 14673035196. Its totient is φ = 3551600640.

The previous prime is 7221650419. The next prime is 7221650459. The reversal of 7221650432 is 2340561227.

It can be written as a sum of positive squares in 2 ways, for example, as 3478168576 + 3743481856 = 58976^2 + 61184^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4658 + ... + 120270.

Almost surely, 27221650432 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 7221650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336517598).

7221650432 is an abundant number, since it is smaller than the sum of its proper divisors (7451384764).

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

7221650432 is a wasteful number, since it uses less digits than its factorization.

7221650432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115694 (or 115676 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 7221650432 is about 84980.2943746372. The cubic root of 7221650432 is about 1932.9123196865.

The spelling of 7221650432 in words is "seven billion, two hundred twenty-one million, six hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 3904 7808 15616 31232 62464 115613 231226 462452 924904 1849808 3699616 7052393 7399232 14104786 14798464 28209572 29596928 56419144 59193856 112838288 118387712 225676576 451353152 902706304 1805412608 3610825216 7221650432