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422808240 = 24354737483
BaseRepresentation
bin11001001100111…
…000101010110000
31002110120212212110
4121030320222300
51331214330430
6105542125320
713322545041
oct3114705260
91073525773
10422808240
111a77340a8
12b9720840
1369798cba
14402208c8
15271bb7b0
hex19338ab0

422808240 has 80 divisors (see below), whose sum is σ = 1338628608. Its totient is φ = 110347008.

The previous prime is 422808229. The next prime is 422808247. The reversal of 422808240 is 42808224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 422808198 and 422808207.

It is not an unprimeable number, because it can be changed into a prime (422808247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7462 + ... + 30021.

Almost surely, 2422808240 is an apocalyptic number.

422808240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422808240 is an abundant number, since it is smaller than the sum of its proper divisors (915820368).

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

422808240 is a wasteful number, since it uses less digits than its factorization.

422808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37546 (or 37540 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 422808240 is about 20562.3014276126. The cubic root of 422808240 is about 750.5526238203.

The spelling of 422808240 in words is "four hundred twenty-two million, eight hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 37483 74966 112449 149932 187415 224898 299864 374830 449796 562245 599728 749660 899592 1124490 1499320 1761701 1799184 2248980 2998640 3523402 4497960 5285103 7046804 8808505 8995920 10570206 14093608 17617010 21140412 26425515 28187216 35234020 42280824 52851030 70468040 84561648 105702060 140936080 211404120 422808240