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290633220 = 223251614629
BaseRepresentation
bin10001010100101…
…011011000000100
3202020212200211100
4101110223120010
51043400230340
644501140100
710126225113
oct2124533004
9666780740
10290633220
1113a067049
12813ba630
134829b527
142a855c7a
151a7ad830
hex1152b604

290633220 has 36 divisors (see below), whose sum is σ = 881587980. Its totient is φ = 77502144.

The previous prime is 290633197. The next prime is 290633237. The reversal of 290633220 is 22336092.

290633220 is a `hidden beast` number, since 2 + 9 + 0 + 633 + 2 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29746116 + 260887104 = 5454^2 + 16152^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807135 + ... + 807494.

It is an arithmetic number, because the mean of its divisors is an integer number (24488555).

Almost surely, 2290633220 is an apocalyptic number.

290633220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290633220 is an abundant number, since it is smaller than the sum of its proper divisors (590954760).

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

290633220 is a wasteful number, since it uses less digits than its factorization.

290633220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614644 (or 1614639 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 290633220 is about 17047.9682073847. The cubic root of 290633220 is about 662.3920089791.

The spelling of 290633220 in words is "two hundred ninety million, six hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1614629 3229258 4843887 6458516 8073145 9687774 14531661 16146290 19375548 24219435 29063322 32292580 48438870 58126644 72658305 96877740 145316610 290633220