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9904224 = 2531183113
BaseRepresentation
bin100101110010…
…000001100000
3200122012001010
4211302001200
510013413344
6552140520
7150120201
oct45620140
920565033
109904224
115655210
123397740
13208a0b5
14145b5a8
15d098b9
hex972060

9904224 has 96 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 2938880.

The previous prime is 9904211. The next prime is 9904231. The reversal of 9904224 is 4224099.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 9904191 and 9904200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87592 + ... + 87704.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 29904224 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 9904224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

9904224 is an abundant number, since it is smaller than the sum of its proper divisors (19053600).

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

9904224 is a wasteful number, since it uses less digits than its factorization.

9904224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9904224 is about 3147.0977105899. The cubic root of 9904224 is about 214.7534509301.

The spelling of 9904224 in words is "nine million, nine hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 113 132 166 176 226 249 264 332 339 352 452 498 528 664 678 904 913 996 1056 1243 1328 1356 1808 1826 1992 2486 2656 2712 2739 3616 3652 3729 3984 4972 5424 5478 7304 7458 7968 9379 9944 10848 10956 14608 14916 18758 19888 21912 28137 29216 29832 37516 39776 43824 56274 59664 75032 87648 103169 112548 119328 150064 206338 225096 300128 309507 412676 450192 619014 825352 900384 1238028 1650704 2476056 3301408 4952112 9904224