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6222020040 = 23325107161527
BaseRepresentation
bin1011100101101110…
…00111110111001000
3121001121211100220200
411302313013313020
5100220314120130
62505223252200
7310121204055
oct56267076710
917047740820
106222020040
112703193825
1212578aa060
13782092a82
144304c402c
15266391760
hex172dc7dc8

6222020040 has 96 divisors (see below), whose sum is σ = 20410678080. Its totient is φ = 1643688576.

The previous prime is 6222020029. The next prime is 6222020083. The reversal of 6222020040 is 400202226.

It is a happy number.

6222020040 is a `hidden beast` number, since 622 + 2 + 0 + 2 + 0 + 0 + 40 = 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 = 6222019995 and 6222020022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42244 + ... + 119283.

It is an arithmetic number, because the mean of its divisors is an integer number (212611230).

Almost surely, 26222020040 is an apocalyptic number.

6222020040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6222020040 is an abundant number, since it is smaller than the sum of its proper divisors (14188658040).

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

6222020040 is a wasteful number, since it uses less digits than its factorization.

6222020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161651 (or 161644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6222020040 is about 78879.7822005107. The cubic root of 6222020040 is about 1839.2628624161.

Adding to 6222020040 its reverse (400202226), we get a palindrome (6622222266).

The spelling of 6222020040 in words is "six billion, two hundred twenty-two million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3852 4280 4815 6420 7704 9630 12840 19260 38520 161527 323054 484581 646108 807635 969162 1292216 1453743 1615270 1938324 2422905 2907486 3230540 3876648 4845810 5814972 6461080 7268715 9691620 11629944 14537430 17283389 19383240 29074860 34566778 51850167 58149720 69133556 86416945 103700334 138267112 155550501 172833890 207400668 259250835 311101002 345667780 414801336 518501670 622202004 691335560 777752505 1037003340 1244404008 1555505010 2074006680 3111010020 6222020040