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220030668 = 223511131583
BaseRepresentation
bin11010001110101…
…10011011001100
3120100000201100000
431013112123030
5422311440133
633500004300
75311141554
oct1507263314
9510021300
10220030668
11103224330
1261830690
133677b680
1421318164
15144b4413
hexd1d66cc

220030668 has 144 divisors (see below), whose sum is σ = 678053376. Its totient is φ = 61508160.

The previous prime is 220030667. The next prime is 220030669. The reversal of 220030668 is 866030022.

It is an interprime number because it is at equal distance from previous prime (220030667) and next prime (220030669).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220030667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138205 + ... + 139787.

It is an arithmetic number, because the mean of its divisors is an integer number (4708704).

Almost surely, 2220030668 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 220030668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339026688).

220030668 is an abundant number, since it is smaller than the sum of its proper divisors (458022708).

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

220030668 is a wasteful number, since it uses less digits than its factorization.

220030668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220030668 is about 14833.4307562344. The cubic root of 220030668 is about 603.7091234237.

The spelling of 220030668 in words is "two hundred twenty million, thirty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 243 286 297 324 351 396 429 468 486 572 594 702 858 891 972 1053 1188 1287 1404 1583 1716 1782 2106 2574 2673 3159 3166 3564 3861 4212 4749 5148 5346 6318 6332 7722 9498 10692 11583 12636 14247 15444 17413 18996 20579 23166 28494 34749 34826 41158 42741 46332 52239 56988 61737 69498 69652 82316 85482 104478 123474 128223 138996 156717 170964 185211 208956 226369 246948 256446 313434 370422 384669 452738 470151 512892 555633 626868 679107 740844 769338 905476 940302 1111266 1358214 1410453 1538676 1666899 1880604 2037321 2222532 2716428 2820906 3333798 4074642 4231359 5000697 5641812 6111963 6667596 8149284 8462718 10001394 12223926 16925436 18335889 20002788 24447852 36671778 55007667 73343556 110015334 220030668