Search a number
-
+
330212000 = 2553312663
BaseRepresentation
bin10011101011101…
…010001010100000
3212000100111201002
4103223222022200
51134013241000
652433331132
711116520126
oct2353521240
9760314632
10330212000
1115a43a188
1292706aa8
1353548421
1431bd9916
151deca8d5
hex13aea2a0

330212000 has 96 divisors (see below), whose sum is σ = 837817344. Its totient is φ = 127776000.

The previous prime is 330211997. The next prime is 330212011. The reversal of 330212000 is 212033.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122669 + ... + 125331.

It is an arithmetic number, because the mean of its divisors is an integer number (8727264).

Almost surely, 2330212000 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 330212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418908672).

330212000 is an abundant number, since it is smaller than the sum of its proper divisors (507605344).

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

330212000 is a wasteful number, since it uses less digits than its factorization.

330212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 330212000 is about 18171.7362956873. The cubic root of 330212000 is about 691.1902721039.

Adding to 330212000 its reverse (212033), we get a palindrome (330424033).

The spelling of 330212000 in words is "three hundred thirty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 2663 3100 3875 4000 4960 5326 6200 7750 10652 12400 13315 15500 21304 24800 26630 31000 42608 53260 62000 66575 82553 85216 106520 124000 133150 165106 213040 266300 330212 332875 412765 426080 532600 660424 665750 825530 1065200 1320848 1331500 1651060 2063825 2130400 2641696 2663000 3302120 4127650 5326000 6604240 8255300 10319125 10652000 13208480 16510600 20638250 33021200 41276500 66042400 82553000 165106000 330212000