[go: up one dir, main page]

Search a number
-
+
209044992 = 2931319229
BaseRepresentation
bin11000111010111…
…00011000000000
3112120100120211010
430131130120000
5412003414432
632424320520
75115565422
oct1435343000
9476316733
10209044992
11a8000662
125a013140
1334403280
141da98812
15135443cc
hexc75c600

209044992 has 240 divisors, whose sum is σ = 654801840. Its totient is φ = 58834944.

The previous prime is 209044967. The next prime is 209044993. The reversal of 209044992 is 299440902.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 209044992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209044993) 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 23 ways as a sum of consecutive naturals, for example, 7208434 + ... + 7208462.

It is an arithmetic number, because the mean of its divisors is an integer number (2728341).

Almost surely, 2209044992 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 209044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327400920).

209044992 is an abundant number, since it is smaller than the sum of its proper divisors (445756848).

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

209044992 is a wasteful number, since it uses less digits than its factorization.

209044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 209044992 is about 14458.3882919224. The cubic root of 209044992 is about 593.4897953180.

The spelling of 209044992 in words is "two hundred nine million, forty-four thousand, nine hundred ninety-two".