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290065216 = 267691937
BaseRepresentation
bin10001010010100…
…000101101000000
3202012210211200011
4101102200231000
51043224041331
644441034304
710121341120
oct2122405500
9665724604
10290065216
11139809321
1281185994
134812cb2c
142a748c80
151a6ea3b1
hex114a0b40

290065216 has 56 divisors (see below), whose sum is σ = 659481536. Its totient is φ = 124001280.

The previous prime is 290065199. The next prime is 290065219. The reversal of 290065216 is 612560092.

290065216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290065219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309100 + ... + 310036.

It is an arithmetic number, because the mean of its divisors is an integer number (11776456).

Almost surely, 2290065216 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 290065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329740768).

290065216 is an abundant number, since it is smaller than the sum of its proper divisors (369416320).

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

290065216 is an equidigital number, since it uses as much as digits as its factorization.

290065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 290065216 is about 17031.3010659785. The cubic root of 290065216 is about 661.9602085106.

The spelling of 290065216 in words is "two hundred ninety million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 691 937 1382 1874 2764 3748 4837 5528 6559 7496 9674 11056 13118 14992 19348 22112 26236 29984 38696 44224 52472 59968 77392 104944 154784 209888 309568 419776 647467 1294934 2589868 4532269 5179736 9064538 10359472 18129076 20718944 36258152 41437888 72516304 145032608 290065216