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4975808220 = 22325472272591
BaseRepresentation
bin1001010001001010…
…01100111011011100
3110211202212020200100
410220211030323130
540142301330340
62141424501100
7234206446335
oct45045147334
913752766610
104975808220
1121237943a9
12b6a47a790
13613b3b526
14352ba528c
151e1c78830
hex12894cedc

4975808220 has 144 divisors (see below), whose sum is σ = 15488299008. Its totient is φ = 1292430720.

The previous prime is 4975808219. The next prime is 4975808221. The reversal of 4975808220 is 228085794.

4975808220 is a `hidden beast` number, since 49 + 7 + 580 + 8 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4975808219) and next prime (4975808221).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4975808221) 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, 1919125 + ... + 1921715.

It is an arithmetic number, because the mean of its divisors is an integer number (107557632).

Almost surely, 24975808220 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 4975808220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744149504).

4975808220 is an abundant number, since it is smaller than the sum of its proper divisors (10512490788).

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

4975808220 is a wasteful number, since it uses less digits than its factorization.

4975808220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4975808220 is about 70539.4089853324. The cubic root of 4975808220 is about 1707.2136627770.

The spelling of 4975808220 in words is "four billion, nine hundred seventy-five million, eight hundred eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 227 235 282 423 454 470 564 681 705 846 908 940 1135 1362 1410 1692 2043 2115 2270 2591 2724 2820 3405 4086 4230 4540 5182 6810 7773 8172 8460 10215 10364 10669 12955 13620 15546 20430 21338 23319 25910 31092 32007 38865 40860 42676 46638 51820 53345 64014 77730 93276 96021 106690 116595 121777 128028 155460 160035 192042 213380 233190 243554 320070 365331 384084 466380 480105 487108 588157 608885 640140 730662 960210 1095993 1176314 1217770 1461324 1764471 1826655 1920420 2191986 2352628 2435540 2940785 3528942 3653310 4383972 5293413 5479965 5881570 7057884 7306620 8822355 10586826 10959930 11763140 17644710 21173652 21919860 26467065 27643379 35289420 52934130 55286758 82930137 105868260 110573516 138216895 165860274 248790411 276433790 331720548 414650685 497580822 552867580 829301370 995161644 1243952055 1658602740 2487904110 4975808220