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206325328 = 24112176269
BaseRepresentation
bin11000100110001…
…00011001010000
3112101020102010211
430103010121100
5410304402303
632250133504
75053510366
oct1423043120
9471212124
10206325328
11a6513300
1259121294
13339903c1
141d58b636
15131a866d
hexc4c4650

206325328 has 60 divisors (see below), whose sum is σ = 465321780. Its totient is φ = 88253440.

The previous prime is 206325307. The next prime is 206325349. The reversal of 206325328 is 823523602.

It is an interprime number because it is at equal distance from previous prime (206325307) and next prime (206325349).

It can be written as a sum of positive squares in 2 ways, for example, as 114318864 + 92006464 = 10692^2 + 9592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 206325328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29778 + ... + 36046.

It is an arithmetic number, because the mean of its divisors is an integer number (7755363).

Almost surely, 2206325328 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 206325328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232660890).

206325328 is an abundant number, since it is smaller than the sum of its proper divisors (258996452).

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

206325328 is a wasteful number, since it uses less digits than its factorization.

206325328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 206325328 is about 14364.0289612629. The cubic root of 206325328 is about 590.9047957859.

The spelling of 206325328 in words is "two hundred six million, three hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1496 1936 2057 2992 4114 6269 8228 12538 16456 25076 32912 50152 68959 100304 106573 137918 213146 275836 426292 551672 758549 852584 1103344 1172303 1517098 1705168 2344606 3034196 4689212 6068392 9378424 12136784 12895333 18756848 25790666 51581332 103162664 206325328