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9009204224 = 21014715981
BaseRepresentation
bin10000110001111110…
…11000110000000000
3212020212101222211112
420120333120300000
5121422324013344
64045550302452
7436153654346
oct103077306000
925225358745
109009204224
113903508529
1218b51b7a28
13b07653897
1461672d996
1537ade8c9e
hex218fd8c00

9009204224 has 44 divisors (see below), whose sum is σ = 18024866688. Its totient is φ = 4500787200.

The previous prime is 9009204203. The next prime is 9009204233. The reversal of 9009204224 is 4224029009.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1503314 + ... + 1509294.

Almost surely, 29009204224 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 9009204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012433344).

9009204224 is an abundant number, since it is smaller than the sum of its proper divisors (9015662464).

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

9009204224 is a wasteful number, since it uses less digits than its factorization.

9009204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 9009204224 is about 94916.8279284553. The cubic root of 9009204224 is about 2080.7926761810.

The spelling of 9009204224 in words is "nine billion, nine million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1471 2942 5884 5981 11768 11962 23536 23924 47072 47848 94144 95696 188288 191392 376576 382784 753152 765568 1506304 1531136 3062272 6124544 8798051 17596102 35192204 70384408 140768816 281537632 563075264 1126150528 2252301056 4504602112 9009204224