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2195836928 = 2123714489
BaseRepresentation
bin1000001011100001…
…1101000000000000
312200000212001222122
42002320131000000
513444113240203
61001520223412
7105262206635
oct20270350000
95600761878
102195836928
11a2754686a
1251346ab68
1328cc047bc
1416b8b618c
15ccb98538
hex82e1d000

2195836928 has 52 divisors (see below), whose sum is σ = 4510128420. Its totient is φ = 1068171264.

The previous prime is 2195836921. The next prime is 2195836939. The reversal of 2195836928 is 8296385912.

It can be written as a sum of positive squares in 2 ways, for example, as 1163628544 + 1032208384 = 34112^2 + 32128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2195836928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195836921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144308 + ... + 158796.

Almost surely, 22195836928 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 2195836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255064210).

2195836928 is an abundant number, since it is smaller than the sum of its proper divisors (2314291492).

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

2195836928 is an equidigital number, since it uses as much as digits as its factorization.

2195836928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14550 (or 14528 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 53.

The square root of 2195836928 is about 46859.7580872970. The cubic root of 2195836928 is about 1299.7705567455.

The spelling of 2195836928 in words is "two billion, one hundred ninety-five million, eight hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4096 4736 9472 14489 18944 28978 37888 57956 75776 115912 151552 231824 463648 536093 927296 1072186 1854592 2144372 3709184 4288744 7418368 8577488 14836736 17154976 29673472 34309952 59346944 68619904 137239808 274479616 548959232 1097918464 2195836928