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350115220 = 225713474093
BaseRepresentation
bin10100110111100…
…101010110010100
3220101210200210101
4110313211112110
51204112141340
654424103444
711450634040
oct2467452624
9811720711
10350115220
1116a6a3824
1299304b84
13576c6790
14346db020
1520b0cc9a
hex14de5594

350115220 has 96 divisors (see below), whose sum is σ = 924392448. Its totient is φ = 108421632.

The previous prime is 350115217. The next prime is 350115247. The reversal of 350115220 is 22511053.

It is a congruent number.

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, 83494 + ... + 87586.

It is an arithmetic number, because the mean of its divisors is an integer number (9629088).

Almost surely, 2350115220 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 350115220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462196224).

350115220 is an abundant number, since it is smaller than the sum of its proper divisors (574277228).

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

350115220 is a wasteful number, since it uses less digits than its factorization.

350115220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 350115220 is about 18711.3660645074. The cubic root of 350115220 is about 704.8071970802.

Adding to 350115220 its reverse (22511053), we get a palindrome (372626273).

It can be divided in two parts, 3501 and 15220, that added together give a triangular number (18721 = T193).

The spelling of 350115220 in words is "three hundred fifty million, one hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 91 94 130 140 182 188 235 260 329 364 455 470 611 658 910 940 1222 1316 1645 1820 2444 3055 3290 4093 4277 6110 6580 8186 8554 12220 16372 17108 20465 21385 28651 40930 42770 53209 57302 81860 85540 106418 114604 143255 192371 212836 266045 286510 372463 384742 532090 573020 744926 769484 961855 1064180 1346597 1489852 1862315 1923710 2500823 2693194 3724630 3847420 5001646 5386388 6732985 7449260 10003292 12504115 13465970 17505761 25008230 26931940 35011522 50016460 70023044 87528805 175057610 350115220