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450725220 = 22325111911981
BaseRepresentation
bin11010110111011…
…000010101100100
31011102010012202200
4122313120111210
51410341201340
6112420334500
714112046461
oct3267302544
91142105680
10450725220
11211471590
12106b44430
13724c1b1a
1443c0a668
1529883330
hex1add8564

450725220 has 144 divisors (see below), whose sum is σ = 1570121280. Its totient is φ = 103507200.

The previous prime is 450725207. The next prime is 450725237. The reversal of 450725220 is 22527054.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31630 + ... + 43610.

It is an arithmetic number, because the mean of its divisors is an integer number (10903620).

Almost surely, 2450725220 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 450725220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785060640).

450725220 is an abundant number, since it is smaller than the sum of its proper divisors (1119396060).

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

450725220 is a wasteful number, since it uses less digits than its factorization.

450725220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12026 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 450725220 is about 21230.2901534576. The cubic root of 450725220 is about 766.7208728739.

The spelling of 450725220 in words is "four hundred fifty million, seven hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 11981 12540 18810 23962 35943 37620 47924 59905 71886 107829 119810 131791 143772 179715 215658 227639 239620 263582 359430 395373 431316 455278 527164 539145 658955 682917 718860 790746 910556 1078290 1138195 1186119 1317910 1365834 1581492 1976865 2048751 2156580 2276390 2372238 2504029 2635820 2731668 3414585 3953730 4097502 4552780 4744476 5008058 5930595 6829170 7512087 7907460 8195004 10016116 10243755 11861190 12520145 13658340 15024174 20487510 22536261 23722380 25040290 30048348 37560435 40975020 45072522 50080580 75120870 90145044 112681305 150241740 225362610 450725220