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331411220 = 225737137467
BaseRepresentation
bin10011110000001…
…110111100010100
3212002121102201122
4103300032330110
51134320124340
652515143112
711132643320
oct2360167424
9762542648
10331411220
11160089178
1292ba4a98
135387821a
143202c980
151e165db5
hex13c0ef14

331411220 has 96 divisors (see below), whose sum is σ = 824608512. Its totient is φ = 109513728.

The previous prime is 331411219. The next prime is 331411229. The reversal of 331411220 is 22114133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331411229) 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, 709427 + ... + 709893.

It is an arithmetic number, because the mean of its divisors is an integer number (8589672).

Almost surely, 2331411220 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 331411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412304256).

331411220 is an abundant number, since it is smaller than the sum of its proper divisors (493197292).

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

331411220 is a wasteful number, since it uses less digits than its factorization.

331411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 331411220 is about 18204.7032384491. The cubic root of 331411220 is about 692.0259855256.

Adding to 331411220 its reverse (22114133), we get a palindrome (353525353).

The spelling of 331411220 in words is "three hundred thirty-one million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 137 140 148 185 259 274 370 467 518 548 685 740 934 959 1036 1295 1370 1868 1918 2335 2590 2740 3269 3836 4670 4795 5069 5180 6538 9340 9590 10138 13076 16345 17279 19180 20276 25345 32690 34558 35483 50690 63979 65380 69116 70966 86395 101380 120953 127958 141932 172790 177415 241906 255916 319895 345580 354830 447853 483812 604765 639790 709660 895706 1209530 1279580 1791412 2239265 2367223 2419060 4478530 4734446 8957060 9468892 11836115 16570561 23672230 33141122 47344460 66282244 82852805 165705610 331411220