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209207296 = 2141132
BaseRepresentation
bin11000111100001…
…00000000000000
3112120122211110101
430132010000000
5412024113141
632432012144
75120142544
oct1436040000
9476584411
10209207296
11a81015a1
125a091054
133445c0cc
141dadba24
1513577531
hexc784000

209207296 has 45 divisors (see below), whose sum is σ = 422137261. Its totient is φ = 103677952.

The previous prime is 209207267. The next prime is 209207303. The reversal of 209207296 is 692702902.

The square root of 209207296 is 14464.

It is a perfect power (a square), and thus also a powerful number.

209207296 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 205520896 = 1920^2 + 14336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1851336 + ... + 1851448.

Almost surely, 2209207296 is an apocalyptic number.

209207296 is the 14464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209207296

209207296 is an abundant number, since it is smaller than the sum of its proper divisors (212929965).

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

209207296 is an frugal number, since it uses more digits than its factorization.

209207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The cubic root of 209207296 is about 593.6433521325.

The spelling of 209207296 in words is "two hundred nine million, two hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 2048 3616 4096 7232 8192 12769 14464 16384 25538 28928 51076 57856 102152 115712 204304 231424 408608 462848 817216 925696 1634432 1851392 3268864 6537728 13075456 26150912 52301824 104603648 209207296