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209132096 = 26171671151
BaseRepresentation
bin11000111011100…
…01101001000000
3112120112000022012
430131301221000
5412014211341
632430232052
75116410365
oct1435615100
9476460265
10209132096
11a8060048
125a055628
1334433b04
141dabc46c
15135600eb
hexc771a40

209132096 has 56 divisors (see below), whose sum is σ = 442423296. Its totient is φ = 97740800.

The previous prime is 209132083. The next prime is 209132101. The reversal of 209132096 is 690231902.

209132096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181121 + ... + 182271.

It is an arithmetic number, because the mean of its divisors is an integer number (7900416).

Almost surely, 2209132096 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 209132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648).

209132096 is an abundant number, since it is smaller than the sum of its proper divisors (233291200).

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

209132096 is a wasteful number, since it uses less digits than its factorization.

209132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 209132096 is about 14461.4002088318. The cubic root of 209132096 is about 593.5722148269.

Adding to 209132096 its reverse (690231902), we get a palindrome (899363998).

The spelling of 209132096 in words is "two hundred nine million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 167 272 334 544 668 1088 1151 1336 2302 2672 2839 4604 5344 5678 9208 10688 11356 18416 19567 22712 36832 39134 45424 73664 78268 90848 156536 181696 192217 313072 384434 626144 768868 1252288 1537736 3075472 3267689 6150944 6535378 12301888 13070756 26141512 52283024 104566048 209132096