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290220288 = 2831919889
BaseRepresentation
bin10001010011000…
…110100100000000
3202020002201101120
4101103012210000
51043244022123
644444232240
710122555201
oct2123064400
9666081346
10290220288
11139904886
128123b680
13481855a7
142a7895a8
151a72b2e3
hex114c6900

290220288 has 72 divisors (see below), whose sum is σ = 813103200. Its totient is φ = 91643904.

The previous prime is 290220283. The next prime is 290220289. The reversal of 290220288 is 882022092.

It is a super-3 number, since 3×2902202883 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290220283) 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, 4648 + ... + 24536.

It is an arithmetic number, because the mean of its divisors is an integer number (11293100).

Almost surely, 2290220288 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 290220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406551600).

290220288 is an abundant number, since it is smaller than the sum of its proper divisors (522882912).

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

290220288 is a wasteful number, since it uses less digits than its factorization.

290220288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19927 (or 19913 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 290220288 is about 17035.8530165061. The cubic root of 290220288 is about 662.0781511896.

The spelling of 290220288 in words is "two hundred ninety million, two hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 19889 39778 59667 79556 119334 159112 238668 318224 377891 477336 636448 755782 954672 1133673 1272896 1511564 1909344 2267346 2545792 3023128 3818688 4534692 5091584 6046256 7637376 9069384 12092512 15274752 18138768 24185024 36277536 48370048 72555072 96740096 145110144 290220288