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330024224 = 25194711549
BaseRepresentation
bin10011101010111…
…100010100100000
3211222222222010102
4103222330110200
51133441233344
652425321532
711115105515
oct2352742440
9758888112
10330024224
1115a3210a2
12926362a8
13534b0b0a
1431b8b30c
151de8ee4e
hex13abc520

330024224 has 48 divisors (see below), whose sum is σ = 698544000. Its totient is φ = 152987904.

The previous prime is 330024223. The next prime is 330024283. The reversal of 330024224 is 422420033.

It is a junction number, because it is equal to n+sod(n) for n = 330024196 and 330024205.

It is not an unprimeable number, because it can be changed into a prime (330024221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22802 + ... + 34350.

It is an arithmetic number, because the mean of its divisors is an integer number (14553000).

Almost surely, 2330024224 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 330024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272000).

330024224 is an abundant number, since it is smaller than the sum of its proper divisors (368519776).

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

330024224 is a wasteful number, since it uses less digits than its factorization.

330024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11625 (or 11617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 330024224 is about 18166.5688560058. The cubic root of 330024224 is about 691.0592314856.

Adding to 330024224 its reverse (422420033), we get a palindrome (752444257).

The spelling of 330024224 in words is "three hundred thirty million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 152 188 304 376 608 752 893 1504 1786 3572 7144 11549 14288 23098 28576 46196 92392 184784 219431 369568 438862 542803 877724 1085606 1755448 2171212 3510896 4342424 7021792 8684848 10313257 17369696 20626514 41253028 82506056 165012112 330024224