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390494219220 = 223357214757907
BaseRepresentation
bin1011010111010110100…
…01001110101111010100
31101022221012202200012000
411223223101032233110
522344213010003340
6455220210155300
740132545045300
oct5535321165724
91338835680160
10390494219220
11140675896626
126381b882b30
132aa921609a1
1414c8592cd00
15a257110d30
hex5aeb44ebd4

390494219220 has 144 divisors (see below), whose sum is σ = 1413217270080. Its totient is φ = 89255815488.

The previous prime is 390494219191. The next prime is 390494219249. The reversal of 390494219220 is 22912494093.

390494219220 is a `hidden beast` number, since 39 + 0 + 494 + 21 + 92 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (390494219191) and next prime (390494219249).

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

It is a congruent number.

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, 7352494 + ... + 7405413.

It is an arithmetic number, because the mean of its divisors is an integer number (9814008820).

Almost surely, 2390494219220 is an apocalyptic number.

390494219220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390494219220 is an abundant number, since it is smaller than the sum of its proper divisors (1022723050860).

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

390494219220 is a wasteful number, since it uses less digits than its factorization.

390494219220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14757939 (or 14757924 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 390494219220 in words is "three hundred ninety billion, four hundred ninety-four million, two hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 14757907 29515814 44273721 59031628 73789535 88547442 103305349 132821163 147579070 177094884 206610698 221368605 265642326 295158140 309916047 398463489 413221396 442737210 516526745 531284652 619832094 664105815 723137443 796926978 885474420 929748141 1033053490 1239664188 1328211630 1446274886 1549580235 1593853956 1859496282 1992317445 2066106980 2169412329 2656423260 2789244423 2892549772 3099160470 3615687215 3718992564 3984634890 4338824658 4648740705 5578488846 6198320940 6508236987 7231374430 7969269780 8677649316 9297481410 10847061645 11156977692 13016473974 13946222115 14462748860 18594962820 19524710961 21694123290 26032947948 27892444230 32541184935 39049421922 43388246580 55784888460 65082369870 78098843844 97623554805 130164739740 195247109610 390494219220