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330564224 = 2719313381
BaseRepresentation
bin10011101101000…
…000001010000000
3212001000101212102
4103231000022000
51134111023344
652445045532
711122515044
oct2355001200
9761011772
10330564224
1115a65a881
12928568a8
135363c843
1431c8c024
151e049e4e
hex13b40280

330564224 has 32 divisors (see below), whose sum is σ = 662007540. Its totient is φ = 164413440.

The previous prime is 330564121. The next prime is 330564229. The reversal of 330564224 is 422465033.

It can be written as a sum of positive squares in 2 ways, for example, as 291726400 + 38837824 = 17080^2 + 6232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (330564229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18014 + ... + 31394.

Almost surely, 2330564224 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 330564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331003770).

330564224 is an abundant number, since it is smaller than the sum of its proper divisors (331443316).

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

330564224 is a wasteful number, since it uses less digits than its factorization.

330564224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588 (or 13576 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 330564224 is about 18181.4252466631. The cubic root of 330564224 is about 691.4359398293.

The spelling of 330564224 in words is "three hundred thirty million, five hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 1544 3088 6176 12352 13381 24704 26762 53524 107048 214096 428192 856384 1712768 2582533 5165066 10330132 20660264 41320528 82641056 165282112 330564224