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290223936 = 263219231153
BaseRepresentation
bin10001010011000…
…111011101000000
3202020002220101200
4101103013131000
51043244131221
644444301200
710122601632
oct2123073500
9666086350
10290223936
111399075a2
1281241800
1348187152
142a78aa52
151a72c426
hex114c7740

290223936 has 168 divisors, whose sum is σ = 914521920. Its totient is φ = 87588864.

The previous prime is 290223877. The next prime is 290223937. The reversal of 290223936 is 639322092.

It is a super-3 number, since 3×2902239363 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 290223936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290223937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251136 + ... + 252288.

Almost surely, 2290223936 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 290223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457260960).

290223936 is an abundant number, since it is smaller than the sum of its proper divisors (624297984).

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

290223936 is a wasteful number, since it uses less digits than its factorization.

290223936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 290223936 is about 17035.9600844801. The cubic root of 290223936 is about 662.0809252330.

The spelling of 290223936 in words is "two hundred ninety million, two hundred twenty-three thousand, nine hundred thirty-six".