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290122632 = 233213073083
BaseRepresentation
bin10001010010101…
…110101110001000
3202012220202102200
4101102232232020
51043232411012
644442200200
710122000402
oct2122565610
9665822380
10290122632
11139848478
12811b3060
134814ccc7
142a761b72
151a70c3dc
hex114aeb88

290122632 has 48 divisors (see below), whose sum is σ = 786605040. Its totient is φ = 96602208.

The previous prime is 290122631. The next prime is 290122633. The reversal of 290122632 is 236221092.

290122632 is a `hidden beast` number, since 2 + 9 + 0 + 1 + 22 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (290122631) and next prime (290122633).

It is a super-2 number, since 2×2901226322 = 168342283197214848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 290122596 and 290122605.

It is not an unprimeable number, because it can be changed into a prime (290122631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92563 + ... + 95645.

It is an arithmetic number, because the mean of its divisors is an integer number (16387605).

Almost surely, 2290122632 is an apocalyptic number.

It is an amenable number.

290122632 is an abundant number, since it is smaller than the sum of its proper divisors (496482408).

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

290122632 is a wasteful number, since it uses less digits than its factorization.

290122632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 290122632 is about 17032.9865848594. The cubic root of 290122632 is about 662.0038821372.

The spelling of 290122632 in words is "two hundred ninety million, one hundred twenty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1307 2614 3083 3921 5228 6166 7842 9249 10456 11763 12332 15684 18498 23526 24664 27747 31368 36996 47052 55494 73992 94104 110988 221976 4029481 8058962 12088443 16117924 24176886 32235848 36265329 48353772 72530658 96707544 145061316 290122632