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202421201220 = 223257337147657
BaseRepresentation
bin1011110010000100111…
…1100110100101000100
3201100111002012110011200
42330201033212211010
511304024311414340
6232554020502500
720424120551460
oct2744117464504
9640432173150
10202421201220
1178934544547
123329254aa30
131611bb1bc14
149b2389d4a0
1553eacd7330
hex2f213e6944

202421201220 has 144 divisors (see below), whose sum is σ = 701949725568. Its totient is φ = 46253007360.

The previous prime is 202421201207. The next prime is 202421201221. The reversal of 202421201220 is 22102124202.

202421201220 is a `hidden beast` number, since 2 + 0 + 2 + 421 + 20 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202421201193 and 202421201202.

It is not an unprimeable number, because it can be changed into a prime (202421201221) 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, 4223632 + ... + 4271288.

It is an arithmetic number, because the mean of its divisors is an integer number (4874650872).

Almost surely, 2202421201220 is an apocalyptic number.

202421201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202421201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350974862784).

202421201220 is an abundant number, since it is smaller than the sum of its proper divisors (499528524348).

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

202421201220 is a wasteful number, since it uses less digits than its factorization.

202421201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51050 (or 51045 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202421201220 its reverse (22102124202), we get a palindrome (224523325422).

The spelling of 202421201220 in words is "two hundred two billion, four hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3371 6742 10113 13484 16855 20226 23597 30339 33710 40452 47194 47657 50565 60678 67420 70791 94388 95314 101130 117985 121356 141582 142971 151695 190628 202260 212373 235970 238285 283164 285942 303390 333599 353955 424746 428913 471940 476570 571884 606780 667198 707910 714855 849492 857826 953140 1000797 1061865 1334396 1415820 1429710 1667995 1715652 2001594 2123730 2144565 2859420 3002391 3335990 4003188 4247460 4289130 5003985 6004782 6671980 8578260 10007970 12009564 15011955 20015940 30023910 60047820 160651747 321303494 481955241 642606988 803258735 963910482 1124562229 1445865723 1606517470 1927820964 2249124458 2409776205 2891731446 3213034940 3373686687 4498248916 4819552410 5622811145 5783462892 6747373374 7229328615 9639104820 10121060061 11245622290 13494746748 14458657230 16868433435 20242120122 22491244580 28917314460 33736866870 40484240244 50605300305 67473733740 101210600610 202421201220