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9364224 = 28389137
BaseRepresentation
bin100011101110…
…001100000000
3122121202022010
4203232030000
54344123344
6532412520
7142410642
oct43561400
918552263
109364224
115316531
123177140
131c2b37c
14135a892
15c4e8b9
hex8ee300

9364224 has 72 divisors (see below), whose sum is σ = 25386480. Its totient is φ = 3063808.

The previous prime is 9364213. The next prime is 9364247. The reversal of 9364224 is 4224639.

It is a super-2 number, since 2×93642242 = 175377382244352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9364191 and 9364200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68284 + ... + 68420.

It is an arithmetic number, because the mean of its divisors is an integer number (352590).

Almost surely, 29364224 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 9364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12693240).

9364224 is an abundant number, since it is smaller than the sum of its proper divisors (16022256).

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

9364224 is a wasteful number, since it uses less digits than its factorization.

9364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 9364224 is about 3060.1019590857. The cubic root of 9364224 is about 210.7773457478. Note that the first 3 decimals are identical.

The spelling of 9364224 in words is "nine million, three hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 137 178 192 256 267 274 356 384 411 534 548 712 768 822 1068 1096 1424 1644 2136 2192 2848 3288 4272 4384 5696 6576 8544 8768 11392 12193 13152 17088 17536 22784 24386 26304 34176 35072 36579 48772 52608 68352 73158 97544 105216 146316 195088 292632 390176 585264 780352 1170528 1560704 2341056 3121408 4682112 9364224