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209392290 = 2345312269
BaseRepresentation
bin11000111101100…
…01001010100010
3112121000020020000
430132301022202
5412101023130
632440000430
75121543102
oct1436611242
9477006200
10209392290
11a8218588
125a160116
13344c5383
141db49202
15135b2260
hexc7b12a2

209392290 has 120 divisors (see below), whose sum is σ = 583943580. Its totient is φ = 53835840.

The previous prime is 209392229. The next prime is 209392303. The reversal of 209392290 is 92293902.

It can be written as a sum of positive squares in 2 ways, for example, as 186896241 + 22496049 = 13671^2 + 4743^2 .

It is a super-2 number, since 2×2093922902 = 87690262222888200, which contains 22 as substring.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 778276 + ... + 778544.

Almost surely, 2209392290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209392290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291971790).

209392290 is an abundant number, since it is smaller than the sum of its proper divisors (374551290).

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

209392290 is a wasteful number, since it uses less digits than its factorization.

209392290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 209392290 is about 14470.3935675572. The cubic root of 209392290 is about 593.8182792762.

The spelling of 209392290 in words is "two hundred nine million, three hundred ninety-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 269 270 279 310 405 465 538 558 807 810 837 930 961 1345 1395 1614 1674 1922 2421 2511 2690 2790 2883 4035 4185 4805 4842 5022 5766 7263 8070 8339 8370 8649 9610 12105 12555 14415 14526 16678 17298 21789 24210 25017 25110 25947 28830 36315 41695 43245 43578 50034 51894 72630 75051 77841 83390 86490 108945 125085 129735 150102 155682 217890 225153 250170 258509 259470 375255 389205 450306 517018 675459 750510 775527 778410 1125765 1292545 1350918 1551054 2251530 2326581 2585090 3377295 3877635 4653162 6754590 6979743 7755270 11632905 13959486 20939229 23265810 34898715 41878458 69797430 104696145 209392290