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331221220 = 2251147103311
BaseRepresentation
bin10011101111100…
…000100011100100
3212002020210002121
4103233200203210
51134243034340
652511115324
711131222351
oct2357404344
9762223077
10331221220
1115aa69450
1292b12b44
135380c8b5
1431dbd628
151e12994a
hex13be08e4

331221220 has 96 divisors (see below), whose sum is σ = 784982016. Its totient is φ = 116361600.

The previous prime is 331221203. The next prime is 331221239. The reversal of 331221220 is 22122133.

It is a junction number, because it is equal to n+sod(n) for n = 331221194 and 331221203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064865 + ... + 1065175.

It is an arithmetic number, because the mean of its divisors is an integer number (8176896).

Almost surely, 2331221220 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 331221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392491008).

331221220 is an abundant number, since it is smaller than the sum of its proper divisors (453760796).

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

331221220 is a wasteful number, since it uses less digits than its factorization.

331221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 331221220 is about 18199.4840586210. The cubic root of 331221220 is about 691.8937127233.

Adding to 331221220 its reverse (22122133), we get a palindrome (353343353).

The spelling of 331221220 in words is "three hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 103 110 188 206 220 235 311 412 470 515 517 622 940 1030 1034 1133 1244 1555 2060 2068 2266 2585 3110 3421 4532 4841 5170 5665 6220 6842 9682 10340 11330 13684 14617 17105 19364 22660 24205 29234 32033 34210 48410 53251 58468 64066 68420 73085 96820 106502 128132 146170 160165 160787 213004 266255 292340 320330 321574 352363 532510 640660 643148 704726 803935 1065020 1409452 1505551 1607870 1761815 3011102 3215740 3523630 6022204 7047260 7527755 15055510 16561061 30111020 33122122 66244244 82805305 165610610 331221220