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331201220 = 225759101397
BaseRepresentation
bin10011101111011…
…011101011000100
3212002012202122212
4103233123223010
51134241414340
652510442552
711131110140
oct2357335304
9762182585
10331201220
1115aa55419
1292b03458
135380376c
1431db6220
151e123a65
hex13bdbac4

331201220 has 96 divisors (see below), whose sum is σ = 818415360. Its totient is φ = 110246400.

The previous prime is 331201193. The next prime is 331201229. The reversal of 331201220 is 22102133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 331201195 and 331201204.

It is not an unprimeable number, because it can be changed into a prime (331201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834062 + ... + 834458.

It is an arithmetic number, because the mean of its divisors is an integer number (8525160).

Almost surely, 2331201220 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 331201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409207680).

331201220 is an abundant number, since it is smaller than the sum of its proper divisors (487214140).

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

331201220 is a wasteful number, since it uses less digits than its factorization.

331201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

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

The square root of 331201220 is about 18198.9345842003. The cubic root of 331201220 is about 691.8797863282.

Adding to 331201220 its reverse (22102133), we get a palindrome (353303353).

The spelling of 331201220 in words is "three hundred thirty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 101 118 140 202 236 295 397 404 413 505 590 707 794 826 1010 1180 1414 1588 1652 1985 2020 2065 2779 2828 3535 3970 4130 5558 5959 7070 7940 8260 11116 11918 13895 14140 23423 23836 27790 29795 40097 41713 46846 55580 59590 80194 83426 93692 117115 119180 160388 163961 166852 200485 208565 234230 280679 327922 400970 417130 468460 561358 655844 801940 819805 834260 1122716 1403395 1639610 2365723 2806790 3279220 4731446 5613580 9462892 11828615 16560061 23657230 33120122 47314460 66240244 82800305 165600610 331201220