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90184224 = 25313127569
BaseRepresentation
bin1010110000000…
…01101000100000
320021200211111110
411120001220200
5141041343344
612540543320
72143360524
oct530015040
9207624443
1090184224
11469a7819
1226251b40
13158b7a60
14bd97d84
157db63b9
hex5601a20

90184224 has 96 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 27482112.

The previous prime is 90184189. The next prime is 90184243. The reversal of 90184224 is 42248109.

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 = 90184191 and 90184200.

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, 158212 + ... + 158780.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 290184224 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 90184224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

90184224 is an abundant number, since it is smaller than the sum of its proper divisors (167218656).

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

90184224 is a wasteful number, since it uses less digits than its factorization.

90184224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 90184224 is about 9496.5374742587. The cubic root of 90184224 is about 448.4460374867.

The spelling of 90184224 in words is "ninety million, one hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 569 624 762 1016 1138 1248 1524 1651 1707 2032 2276 3048 3302 3414 4064 4552 4953 6096 6604 6828 7397 9104 9906 12192 13208 13656 14794 18208 19812 22191 26416 27312 29588 39624 44382 52832 54624 59176 72263 79248 88764 118352 144526 158496 177528 216789 236704 289052 355056 433578 578104 710112 867156 939419 1156208 1734312 1878838 2312416 2818257 3468624 3757676 5636514 6937248 7515352 11273028 15030704 22546056 30061408 45092112 90184224