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209831028 = 223115389337
BaseRepresentation
bin11001000000111…
…00010001110100
3112121211112001120
430200130101310
5412204043103
632453223540
75125351161
oct1440342164
9477745046
10209831028
11a8498180
125a331bb0
1334619c94
141dc21068
151364c253
hexc81c474

209831028 has 96 divisors (see below), whose sum is σ = 551940480. Its totient is φ = 61501440.

The previous prime is 209831023. The next prime is 209831053. The reversal of 209831028 is 820138902.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 209831028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209831023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622476 + ... + 622812.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2209831028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209831028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275970240).

209831028 is an abundant number, since it is smaller than the sum of its proper divisors (342109452).

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

209831028 is a wasteful number, since it uses less digits than its factorization.

209831028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 209831028 is about 14485.5454850689. The cubic root of 209831028 is about 594.2327308511.

The spelling of 209831028 in words is "two hundred nine million, eight hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 89 106 132 159 178 212 267 318 337 356 534 583 636 674 979 1011 1068 1166 1348 1749 1958 2022 2332 2937 3498 3707 3916 4044 4717 5874 6996 7414 9434 11121 11748 14151 14828 17861 18868 22242 28302 29993 35722 44484 51887 53583 56604 59986 71444 89979 103774 107166 119972 155661 179958 196471 207548 214332 311322 329923 359916 392942 589413 622644 659846 785884 989769 1178826 1319692 1589629 1979538 2357652 3179258 3959076 4768887 6358516 9537774 17485919 19075548 34971838 52457757 69943676 104915514 209831028