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330121220 = 22511133683
BaseRepresentation
bin10011101011010…
…100000000000100
3212000011220011212
4103223110000010
51134002334340
652431350552
711115661352
oct2353240004
9760156155
10330121220
1115a387a60
1292682458
1353516000
1431bb47d2
151deada65
hex13ad4004

330121220 has 96 divisors (see below), whose sum is σ = 820471680. Its totient is φ = 110647680.

The previous prime is 330121193. The next prime is 330121223. The reversal of 330121220 is 22121033.

It is a happy number.

330121220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 330121195 and 330121204.

It is not an unprimeable number, because it can be changed into a prime (330121223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482999 + ... + 483681.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2330121220 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 330121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410235840).

330121220 is an abundant number, since it is smaller than the sum of its proper divisors (490350460).

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

330121220 is a wasteful number, since it uses less digits than its factorization.

330121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 330121220 is about 18169.2382889322. The cubic root of 330121220 is about 691.1269269360.

Adding to 330121220 its reverse (22121033), we get a palindrome (352242253).

The spelling of 330121220 in words is "three hundred thirty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 683 715 845 1366 1430 1690 1859 2197 2732 2860 3380 3415 3718 4394 6830 7436 7513 8788 8879 9295 10985 13660 15026 17758 18590 21970 24167 30052 35516 37180 37565 43940 44395 48334 75130 88790 96668 97669 115427 120835 150260 177580 195338 230854 241670 390676 461708 483340 488345 577135 976690 1154270 1269697 1500551 1953380 2308540 2539394 3001102 5078788 6002204 6348485 7502755 12696970 15005510 16506061 25393940 30011020 33012122 66024244 82530305 165060610 330121220