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330225320 = 235192914983
BaseRepresentation
bin10011101011101…
…101011010101000
3212000101011222102
4103223231122220
51134014202240
652433512532
711116604015
oct2353553250
9760334872
10330225320
1115a449197
1292712748
13535514c9
1431c0070c
151dece815
hex13aed6a8

330225320 has 64 divisors (see below), whose sum is σ = 809136000. Its totient is φ = 120814848.

The previous prime is 330225317. The next prime is 330225359. The reversal of 330225320 is 23522033.

330225320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 330225292 and 330225301.

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, 14549 + ... + 29531.

It is an arithmetic number, because the mean of its divisors is an integer number (12642750).

Almost surely, 2330225320 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 330225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404568000).

330225320 is an abundant number, since it is smaller than the sum of its proper divisors (478910680).

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

330225320 is a wasteful number, since it uses less digits than its factorization.

330225320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15042 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 330225320 is about 18172.1027952188. The cubic root of 330225320 is about 691.1995656594.

Adding to 330225320 its reverse (23522033), we get a palindrome (353747353).

The spelling of 330225320 in words is "three hundred thirty million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2755 4408 5510 11020 14983 22040 29966 59932 74915 119864 149830 284677 299660 434507 569354 599320 869014 1138708 1423385 1738028 2172535 2277416 2846770 3476056 4345070 5693540 8255633 8690140 11387080 16511266 17380280 33022532 41278165 66045064 82556330 165112660 330225320