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212575830 = 235471071409
BaseRepresentation
bin11001010101110…
…10011001010110
3112210222222012220
430222322121112
5413404411310
633032123210
75160602415
oct1452723126
9483888186
10212575830
11a9aa2405
125b236506
133506b41c
142033747c
15139e0670
hexcaba656

212575830 has 64 divisors (see below), whose sum is σ = 526279680. Its totient is φ = 54923264.

The previous prime is 212575793. The next prime is 212575843. The reversal of 212575830 is 38575212.

It is a junction number, because it is equal to n+sod(n) for n = 212575791 and 212575800.

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, 150166 + ... + 151574.

It is an arithmetic number, because the mean of its divisors is an integer number (8223120).

Almost surely, 2212575830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212575830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263139840).

212575830 is an abundant number, since it is smaller than the sum of its proper divisors (313703850).

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

212575830 is a wasteful number, since it uses less digits than its factorization.

212575830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 212575830 is about 14579.9804526618. The cubic root of 212575830 is about 596.8125693499.

The spelling of 212575830 in words is "two hundred twelve million, five hundred seventy-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 107 141 214 235 282 321 470 535 642 705 1070 1409 1410 1605 2818 3210 4227 5029 7045 8454 10058 14090 15087 21135 25145 30174 42270 50290 66223 75435 132446 150763 150870 198669 301526 331115 397338 452289 662230 753815 904578 993345 1507630 1986690 2261445 4522890 7085861 14171722 21257583 35429305 42515166 70858610 106287915 212575830