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209148312 = 23313166523
BaseRepresentation
bin11000111011101…
…01100110011000
3112120112211112210
430131311212120
5412020221222
632430435120
75116505562
oct1435654630
9476484483
10209148312
11a807124a
125a062aa0
133443b2c9
141dac4332
1513564d0c
hexc775998

209148312 has 32 divisors (see below), whose sum is σ = 526870080. Its totient is φ = 69182880.

The previous prime is 209148311. The next prime is 209148323. The reversal of 209148312 is 213841902.

It is a super-3 number, since 3×2091483123 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 209148312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209148311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30118 + ... + 36405.

It is an arithmetic number, because the mean of its divisors is an integer number (16464690).

Almost surely, 2209148312 is an apocalyptic number.

It is an amenable number.

209148312 is an abundant number, since it is smaller than the sum of its proper divisors (317721768).

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

209148312 is a wasteful number, since it uses less digits than its factorization.

209148312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66663 (or 66659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 209148312 is about 14461.9608628982. The cubic root of 209148312 is about 593.5875561964.

It can be divided in two parts, 2091 and 48312, that added together give a triangular number (50403 = T317).

The spelling of 209148312 in words is "two hundred nine million, one hundred forty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144 66523 133046 199569 266092 399138 532184 798276 1596552 8714513 17429026 26143539 34858052 52287078 69716104 104574156 209148312