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220133130 = 235759109163
BaseRepresentation
bin11010001111011…
…11011100001010
3120100012220212220
431013233130022
5422323230010
633502114510
75312046360
oct1507573412
9510186786
10220133130
11103294308
126187ba36
13367b61b9
1421343630
15144d4970
hexd1ef70a

220133130 has 128 divisors (see below), whose sum is σ = 623462400. Its totient is φ = 48708864.

The previous prime is 220133117. The next prime is 220133131. The reversal of 220133130 is 31331022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220133131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350429 + ... + 1350591.

It is an arithmetic number, because the mean of its divisors is an integer number (4870800).

Almost surely, 2220133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311731200).

220133130 is an abundant number, since it is smaller than the sum of its proper divisors (403329270).

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

220133130 is a wasteful number, since it uses less digits than its factorization.

220133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 220133130 is about 14836.8841068467. The cubic root of 220133130 is about 603.8028189155.

Adding to 220133130 its reverse (31331022), we get a palindrome (251464152).

The spelling of 220133130 in words is "two hundred twenty million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 109 118 163 177 210 218 295 326 327 354 413 489 545 590 654 763 815 826 885 978 1090 1141 1239 1526 1630 1635 1770 2065 2282 2289 2445 2478 3270 3423 3815 4130 4578 4890 5705 6195 6431 6846 7630 9617 11410 11445 12390 12862 17115 17767 19234 19293 22890 28851 32155 34230 35534 38586 45017 48085 53301 57702 64310 67319 88835 90034 96170 96465 106602 124369 134638 135051 144255 177670 192930 201957 225085 248738 266505 270102 288510 336595 373107 403914 450170 533010 621845 673190 675255 746214 1009785 1048253 1243690 1350510 1865535 2019570 2096506 3144759 3731070 5241265 6289518 7337771 10482530 14675542 15723795 22013313 31447590 36688855 44026626 73377710 110066565 220133130