Search a number
-
+
9090224 = 24111329137
BaseRepresentation
bin100010101011…
…010010110000
3122002211102222
4202223102300
54311341344
6522500212
7140160053
oct42532260
918084388
109090224
115149690
123064668
131b63740
1412c8a9a
15be85ee
hex8ab4b0

9090224 has 80 divisors (see below), whose sum is σ = 21561120. Its totient is φ = 3655680.

The previous prime is 9090217. The next prime is 9090229. The reversal of 9090224 is 4220909.

It is a Cunningham number, because it is equal to 30152-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 9090193 and 9090202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66284 + ... + 66420.

It is an arithmetic number, because the mean of its divisors is an integer number (269514).

Almost surely, 29090224 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 9090224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10780560).

9090224 is an abundant number, since it is smaller than the sum of its proper divisors (12470896).

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

9090224 is a wasteful number, since it uses less digits than its factorization.

9090224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 9090224 is about 3014.9998341625. Note that the first 3 decimals coincide. The cubic root of 9090224 is about 208.7011594058.

The spelling of 9090224 in words is "nine million, ninety thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 137 143 176 208 232 274 286 319 377 464 548 572 638 754 1096 1144 1276 1507 1508 1781 2192 2288 2552 3014 3016 3562 3973 4147 5104 6028 6032 7124 7946 8294 12056 14248 15892 16588 19591 24112 28496 31784 33176 39182 43703 51649 63568 66352 78364 87406 103298 156728 174812 206596 313456 349624 413192 568139 699248 826384 1136278 2272556 4545112 9090224