Search a number
-
+
209244000 = 2535374753
BaseRepresentation
bin11000111100011…
…00111101100000
3112120201200210210
430132030331200
5412031302000
632432454120
75120354550
oct1436147540
9476650723
10209244000
11a8127129
125a0aa340
1334472a24
141db0b160
1513583350
hexc78cf60

209244000 has 384 divisors, whose sum is σ = 815173632. Its totient is φ = 45926400.

The previous prime is 209243999. The next prime is 209244043. The reversal of 209244000 is 442902.

209244000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3947974 + ... + 3948026.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2209244000 is an apocalyptic number.

209244000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407586816).

209244000 is an abundant number, since it is smaller than the sum of its proper divisors (605929632).

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

209244000 is a wasteful number, since it uses less digits than its factorization.

209244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 209244000 is about 14465.2687496638. The cubic root of 209244000 is about 593.6780670013.

Adding to 209244000 its reverse (442902), we get a palindrome (209686902).

The spelling of 209244000 in words is "two hundred nine million, two hundred forty-four thousand".