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212305590 = 23357112331
BaseRepresentation
bin11001010011110…
…00011010110110
3112210111020112000
430221320122312
5413322234330
633022240130
75155365510
oct1451703266
9483436460
10212305590
11a9928372
125b126046
1334ca5413
14202a6bb0
151398a560
hexca786b6

212305590 has 64 divisors (see below), whose sum is σ = 647032320. Its totient is φ = 48526560.

The previous prime is 212305531. The next prime is 212305631. The reversal of 212305590 is 95503212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 54276 + ... + 58055.

It is an arithmetic number, because the mean of its divisors is an integer number (10109880).

Almost surely, 2212305590 is an apocalyptic number.

212305590 is an abundant number, since it is smaller than the sum of its proper divisors (434726730).

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

212305590 is a wasteful number, since it uses less digits than its factorization.

212305590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112354 (or 112348 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 212305590 is about 14570.7100032908. The cubic root of 212305590 is about 596.5595599943.

The spelling of 212305590 in words is "two hundred twelve million, three hundred five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 112331 224662 336993 561655 673986 786317 1010979 1123310 1572634 1684965 2021958 2358951 3032937 3369930 3931585 4717902 5054895 6065874 7076853 7863170 10109790 11794755 14153706 15164685 21230559 23589510 30329370 35384265 42461118 70768530 106152795 212305590