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823900090 = 2513371031663
BaseRepresentation
bin110001000110111…
…011011110111010
32010102022110110011
4301012323132322
53141404300330
6213431012134
726263015036
oct6106733672
92112273404
10823900090
11393085372
121abb0a04a
13101900560
147b5cb1c6
154c4e882a
hex311bb7ba

823900090 has 64 divisors (see below), whose sum is σ = 1657184256. Its totient is φ = 292937472.

The previous prime is 823900067. The next prime is 823900111. The reversal of 823900090 is 90009328.

It is a happy number.

It is a super-2 number, since 2×8239000902 = 1357622716604016200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494599 + ... + 496261.

It is an arithmetic number, because the mean of its divisors is an integer number (25893504).

Almost surely, 2823900090 is an apocalyptic number.

823900090 is an abundant number, since it is smaller than the sum of its proper divisors (833284166).

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

823900090 is a wasteful number, since it uses less digits than its factorization.

823900090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 823900090 is about 28703.6598711732. The cubic root of 823900090 is about 937.4717369850.

The spelling of 823900090 in words is "eight hundred twenty-three million, nine hundred thousand, ninety".

Divisors: 1 2 5 10 13 26 37 65 74 103 130 185 206 370 481 515 962 1030 1339 1663 2405 2678 3326 3811 4810 6695 7622 8315 13390 16630 19055 21619 38110 43238 49543 61531 99086 108095 123062 171289 216190 247715 307655 342578 495430 615310 799903 856445 1599806 1712890 2226757 3999515 4453514 6337693 7999030 11133785 12675386 22267570 31688465 63376930 82390009 164780018 411950045 823900090