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482220990 = 232523292277
BaseRepresentation
bin11100101111100…
…001101110111110
31020121101100211200
4130233201232332
51441422032430
6115503400330
714643545046
oct3457415676
91217340750
10482220990
11228223849
121155b30a6
1378b9b884
1448088726
152c505460
hex1cbe1bbe

482220990 has 144 divisors (see below), whose sum is σ = 1359847008. Its totient is φ = 118331136.

The previous prime is 482220989. The next prime is 482221021. The reversal of 482220990 is 99022284.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1740732 + ... + 1741008.

It is an arithmetic number, because the mean of its divisors is an integer number (9443382).

Almost surely, 2482220990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482220990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679923504).

482220990 is an abundant number, since it is smaller than the sum of its proper divisors (877626018).

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

482220990 is a wasteful number, since it uses less digits than its factorization.

482220990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 482220990 is about 21959.5307326910. The cubic root of 482220990 is about 784.1792929091.

The spelling of 482220990 in words is "four hundred eighty-two million, two hundred twenty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 29 30 45 46 58 69 87 90 115 138 145 174 207 230 261 277 290 345 414 435 522 554 667 690 831 841 870 1035 1305 1334 1385 1662 1682 2001 2070 2493 2523 2610 2770 3335 4002 4155 4205 4986 5046 6003 6371 6670 7569 8033 8310 8410 10005 12006 12465 12615 12742 15138 16066 19113 19343 20010 24099 24930 25230 30015 31855 37845 38226 38686 40165 48198 57339 58029 60030 63710 72297 75690 80330 95565 96715 114678 116058 120495 144594 174087 184759 191130 193430 232957 240990 286695 290145 348174 361485 369518 465914 554277 573390 580290 698871 722970 870435 923795 1108554 1164785 1397742 1662831 1740870 1847590 2096613 2329570 2771385 3325662 3494355 4193226 5358011 5542770 6988710 8314155 10483065 10716022 16074033 16628310 20966130 26790055 32148066 48222099 53580110 80370165 96444198 160740330 241110495 482220990