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930314220 = 2235113733779
BaseRepresentation
bin110111011100110…
…111011111101100
32101211112212012020
4313130313133230
53401130023340
6232151510140
732024353233
oct6734673754
92354485166
10930314220
11438157930
1221b688350
1311a97b6b4
148b7abb1a
1556a189d0
hex377377ec

930314220 has 96 divisors (see below), whose sum is σ = 2850059520. Its totient is φ = 224866560.

The previous prime is 930314153. The next prime is 930314251. The reversal of 930314220 is 22413039.

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, 244291 + ... + 248069.

It is an arithmetic number, because the mean of its divisors is an integer number (29688120).

Almost surely, 2930314220 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 930314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425029760).

930314220 is an abundant number, since it is smaller than the sum of its proper divisors (1919745300).

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

930314220 is a wasteful number, since it uses less digits than its factorization.

930314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 930314220 is about 30501.0527687160. The cubic root of 930314220 is about 976.2099272413.

Adding to 930314220 its reverse (22413039), we get a palindrome (952727259).

The spelling of 930314220 in words is "nine hundred thirty million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 373 660 746 1119 1492 1865 2238 3730 3779 4103 4476 5595 7460 7558 8206 11190 11337 12309 15116 16412 18895 20515 22380 22674 24618 37790 41030 41569 45348 49236 56685 61545 75580 82060 83138 113370 123090 124707 166276 207845 226740 246180 249414 415690 498828 623535 831380 1247070 1409567 2494140 2819134 4228701 5638268 7047835 8457402 14095670 15505237 16914804 21143505 28191340 31010474 42287010 46515711 62020948 77526185 84574020 93031422 155052370 186062844 232578555 310104740 465157110 930314220